# Dividing decimals completely | Arithmetic operations | 5th grade | Khan Academy

– [Voiceover] Let’s figure out what 6.3 divided by 0.25 is. And when I look at something like this, the first thing that
I think about is well, is there a way that I can rewrite this? Instead of dividing it by 25 hundredths, instead of dividing it by 0.25, I could divide it by a
whole number, maybe 25. And so how do I turn
25 hundredths into 25? Well, if I multiply it by, if I multiply it by 10 once, then. the decimal’s one spot to the right. And if I multiply it by 10 twice, then I’m gonna move
two spots to the right. And 25 hundredths is going to become 25. I multiplied by 10 twice,
which is the same thing as multiplying by a hundred. Now of course, I can’t only do it to 0.25, that would change the value
of this entire expression. I also have to do it to 6.3. If I move the decimal to
the right twice over here, to get a whole number, I gotta move the decimal twice to the right over here. So let’s see, if I move
it to the right once, I get 63, so that’s one
multiplication by 10. And now I wanna move
it to the right again, and you might say, “Wait,
wait, there doesn’t look like “there’s any other digits here “that I can move to the right of.” And we just have to remind ourselves, that 6.3, well that’s going
to be the same thing as 6.30, or we could actually as many zeroes as we want to the end of this, and not change the value, it’s still 6.3. Six and three tenths is the same thing as six and 30 hundredths. So now, I can move the decimal
one more spot to the right. And, so I’m multiplying by 10 again. And it becomes 630. So 6.3 divided by 0.25 is the same thing as 630 divided by 25. And let me do that again, because this is really, the
tricky part, or the artful part, when you’re dividing decimals. If I were to write, 0.25, being divided into, being divided into, 6.3. Six, let me do it. Six, 6.3. Now, what I care about is moving
this decimal to the right, far enough so that this
becomes a whole number. I don’t have to move it any further, just far enough so that
this becomes a whole number. And then I have to move this, the same number of times to the right. But the goal is to make
this a whole number, not to make the 6.3 a whole number, although that is going to
happen for this particular case. So if I move it two spaces to the right, so, one, two. 0.25 becomes 25, and then 6.3 becomes, move it one space, two
spaces to the right, it becomes 630. And so let me, let me clarify that, let me just clear all of this
stuff away out of the way, to just make that clear what I just did. So we don’t have to deal with all of this messiness when we’re actually doing our long division now. And so this one over here, let me erase all of this business. And we are ready to do some, we’re ready to do some,
some long division, alright. So now this is just straightforward, dividing a two digit number
into a three digit number. And so we could say, well, 25 goes into six zero times, so let’s keep going. 25 goes into 63, let’s see, two times 25 is 50, three times 25 is 75, so that’s too much, so we wanna go two times. Two times 25 is going to be 50, and we can subtract. Or, if you didn’t know two
times 25 is going to 50, you could have said two times five is 10, carry the one or regroup the one. Two times two is four, plus one is five. So we got 50. And now we subtract, and we get three minus zero is three, six minus five is one. And now we bring down the next digit. We can bring down this zero. And we could say, 25, and let me scratch this out, so I
don’t confuse myself later. 25 goes into 130 how many times? Let’s see, 25 times four is 100, 25 times five is 125, 25 times six would be
150, so that’s too big. So I’m gonna go five times. So five times, And I write, it’s very important to keep track of my places right here, I brought down the zero to make the 13 into 130, so I say 25 goes into 130 five times, I write it above the zero, I write it right above
the zero right over there. And then five times 25, five times five, we already know what it is, but I’ll just figure it out. Five times five is 25, regroup the two, five times two is 10, plus two is 12. And now we can, now we can subtract. And you might know
offhand, well (mumbles), 130 minus 125 is going to be five, or if you like, you could
do a little regrouping, can make this, you could
take a 10 from there, and then put the 10 in the ones place, and this becomes 10,
10 minus five is five. Now, we aren’t done yet. We wanna divide this completely, so we can bring down another zero. We can bring down another zero, and I’m picking an appropriate color, to, for the next, so I’ll use, well I already used the green once, we’ll use yellow. So once again, I can
bring down another zero, but I have to be very careful here, I can’t just, I can’t just throw a zero right over there. That’s gonna turn 630 into 6300. I have to be very particular,
say no, look, look. This next zero I’m gonna put, that’s gonna be after the decimal. Now 630 is the same thing as 630.0, and if I’m gonna add a decimal there, I wanna throw the decimal right above it. Need to be very careful with that. But now we’re ready to start
bringing down the zero. So let’s bring down this zero. And we have 50, how many times does 25 go into 50? Let me scratch this out, so we don’t confuse ourselves later. 25 goes two times into 50, two times 25 is in fact 50, is in fact 50. And so now we can subtract. And we now have a remainder of zero, and there’s nothing left to
bring down other than zeros, and we have a remainder of zero, so we are done dividing completely. You take 630, divided by 25, it’s 25.2. Or if you look at our original problem, if you look at our original problem, which was 6.30 divided by 0.25, that also is 25.2. So this is also going to be 25.2. Let me rewrite it, let me rewrite it. So our original problem was 6.3 divided by 0.25, which we just figured out, what we just figured out is 25.2. And we’re done.

## 100 thoughts on “Dividing decimals completely | Arithmetic operations | 5th grade | Khan Academy”

1. DarkGamer1 says:

Hey thanks really helped this was really simple

2. Ayra Umar says:

Great explanation

3. qq says:

thanks, this helped my little sister a lot

4. Andria Kukava says:

Life.LoLLolh Pink Sheep

5. Leana G says:

this helped me so much
🙂

6. Chips Ahoy123 says:

bro ho can 6.3 dividd by 25 be 25

7. LittleAsianBoy _115 says:

I was having trouble with my math and this helps a lot. You say it so simply and make it so much easier for kids all over the world. 😍😚😊😘

8. HYS_Taken says:

thx khan really helped me bro 🙂

9. nawaf almatruk says:

as a senior i am very disappointed to have forgotten this xD

10. Jonathan's Life says:

Yeah, I'm in sixth grade and this really helped! This is a difficult thing

11. Pooper Joker says:

Ur videos are great

12. Bros_R _Pros says:

Finally I found what I need!😁

13. Vertical. Sifty says:

#PLZENDMYSUFFERING

14. Yanna Savage says:

Please speak slowly cuz i dont get it

15. Jazlin Toro says:

no

16. Ginna Jaramillo says:

Answered all my questions now I'm ready for my test but I'm not in 5th Grade!? 🙂 Just sayin

17. Bennett Pickles says:

18. Tin DaNoodle says:

I'm sad that she doesn't have a phone 😣😣😣😥

19. Nice Sah says:

Really help me thanks

GOOD! JOB! VERY! EASY!!!!!!!!!

21. Brook Pak says:

I’m in fourth grade and I learned this type of thing 1 month ago. I also got a perfect PARCC score. Am I Jr. Albert Einstein?

22. Amelia Ryhs says:

Thank you! this really helped

23. Terrific Turtle 21 says:

Helped a lot, thx

24. An _tex says:

thanks for teaching me better than my teacher did

25. TAAF says:

This is really fifth grade? I feel like I don’t listen in class now holy crap 😂😂😂

26. Julian Jonathan says:

thank you SO MUCH IT HELPED GOT A+

27. idtech ucla says:

he is the best teacher ever

28. Zachary Pitts says:

Can you do that sum with short division or does it have to be long division?

29. Senai Woldu says:

OMG this really helped! Also, it seems like you know every single math problem in the world.

30. Senai Woldu says:

I feel dumb cause im trying to understand this kind of math in 6th grade!2018

31. TEAM AXEES says:

Ayyyy bro! I appreciate it

32. Space parakeet Bird says:

This was so helpful to me

33. infinity stricker says:

thanks

34. Antarctica _fox wolves1 Foxy wolf clan says:

this is helping alot im in 5th grade and now i get a' and b'

35. Seth Stachniak says:

5th grade got a A+ on tets with out this but my teacher told me to watch

36. curtis bovain says:

37. Super Channel Gaming says:

38. Tae Yang says:

😂😂I RATHER LISTEN TO U TEACHING US THAN LISTENING TO MY TEACHER😂😂😂👍👍 U EXPLAIN BETTER… PROBABLY I DONT LISTEN TO MY TEACHER😂😂 BUT THANKS💗💗💗

39. Jennifer Hayes says:

Am 10 and have a 5th grade test am 10 why to young like if u agree #bad grammar

40. ariana fan says:

Thank u,next next by next video

41. Nouf Alsaleh says:

srry dont get it😕

42. Aaron ton says:

i got 0.039

43. CoZy KeRmIt says:

Arent you supposed to move the decimal in the answer 2x over

44. Mumb0 000 says:

Who watching 2019

45. Liam McClung says:

What aboud 0.7/ 23.1

46. Jack Carlson says:

Thank yo7,,,,,,,,,,

47. ρнαяαяσн DragneeII says:

This is the hardest thing. I’m in fifth grade and even my high school BROTHER can’t even help me, I have problems like 3.78 divided by 8.988. The two hard things I can’t figure out is having no remainder and dividing number decimals that doesn’t even have the same place value. .78 and .988
.78 has hundredths and .988 has thousandths, it doesn’t go evenly together.

48. Otniel Jorge says:

ya

49. Gabos Awsome video Channel says:

Didn’t help at all

50. You did not see me on YouTube says:

I don't get this all and I have a math test on this tomorrow and I'm panicking I've searched up about more of 10 of these videos and i still don't get it I also have work from other classes oh god please help me 🙁

51. Mushkin Basha says:

Thanks you for this video.

52. Wolf Kameron says:

My brain hurts after this

53. FIN218 says:

wow so helpful totally passing my quiz ;0

54. yeti 3000 also I'm not a yeti says:

i agree royal ocean how dose he write like that

55. Ryan Reynolds says:

6.3/0.25=25.2

56. Okenna Oparah says:

thank u for making dis vid u are getting smarter ever second an u help me pass my test/quiz

57. Everything Kids says:

OMG god bless you I have test tomorrow

58. Mary Sebastian says:

OR you can do 63 divided by 2 and divide that BY 4(to get it to .25) and put the decimal point in your done

59. Brenda Griffin says:

I have a TCAP TEST tomorrow it's really hard but you made this very easy for me Than my Teacher 😁😀

60. ashley ramirez says:

who else is here for th state test

61. Bryan Huang says:

I hope when I try this in class, my teacher will accept it 😬
This does help a little

62. Joli Carr says:

i have nwea tomorrow i am in third grade

63. Jordan Beveridge says:

Literally need to relearn 5th grade math for my MCAT… I'm a Junior in college lol

64. Dain Kim says:

Well… This is 4th grade at Korea… But sal, you are great.

Thank u so much

66. Stephanie Kwok says:

My parents actually forced me to do this and I thought I would get everything wrong and it would be a bit hard, but thus person helped me so much. The colors actually make everything easier. Thanks Khan Academy!

67. Dinesh Chauhan says:

i’m in 5th grade and i didn’t know this….

68. Laetitia Blanche says:

I’m in middle school really

Hey can u speak a little slower I didn’t understand

70. Sopeish says:

👍🏼

71. Nurjahan Begum says:

Khan academy always has a simple way to teach things

72. fdlists says:

Lol 5th grade, and I’m in 7th 😂

73. Dabbin Gaming says:

Who else is in fifth?

74. Lucas Hartman says:

I am so lost in 6th

75. TSB Sean says:

Thank you so much that was helpful

76. creative family says:

arigato

77. 100 Subscribers with no videos says:

Really helped me

78. LaurensCooker says:

79. Matrix Master says:

Here Is The Thing: 63/25 = 2.52 Therefore 252 + 525 = God Is Great^^

80. Camilly de Jesus says:

Thank u very much for you are helping my life hehee❤

81. Kunser Donmae says:

Who else remembers learning this in 5th grade but has a terrible memory

82. Abhilash .V.S says:

Thankyou

83. 20,000 Subs with trash vids challenge says:

84. sasa zizo says:

I am so happy I learned this

85. Sakthivel Sakthivel says:

super

86. Mr. Fish1ey says:

w0t

87. Hayat Jemal says:

I think my teacher will really be impressed !!

88. Erica Del Mazo says:

I am in 4th grade and doing gifted so we are doing 5th grade. This really helped me thank you.

89. rupa banik says:

Thanks you very much . I am in 4th grade it helpbme lot in my final term exam

90. Colleen Cameron says:

5 grade is easy ion know what yall talking about. But the math u can count me out

91. Aijia Renee says:

NO, THIS IS FIFTH GRADE?? I TOTALLY DON’T LISTEN IN CLASS!!!

92. ReniTube says:

You: “It’s actually 25 POINT 2”
Me: Actually it’s 25 AND 2 TENTHS #ImSmartHaters!!
💪🏻💪🏻💰💰🤓🤓🔥😎😇

93. ReniTube says:

When you get to middle school: what’s elementary school #RIP lol

94. chinnita love says:

Dont get it😖😖😖😖 and ged test is in 2weeks😭😭😭😭😭

Well you can tell that either I had a bad teacher or I wasn't listening😅😅😅😂😶

96. Leah Sarir says:

Stank you you really helped

97. Nikihi Ross says:

I’m a 5th grader, well at least I am a 5th grader when I wrote this and I may be older when you read this, but I was a little bit confused on this topic, but when I watched this I
learned very well and I actually understand it 100%.Thank you so much!!!!😁😜

98. Javier Mina-Lewis says:

this was really helpful Inhales Thanks

99. Ethan Turner says:

This helps me with home work for 🏫

100. Puppy Doodles says:

DUDE THANK YOU SO MUCH NOW I KNOW WHAT DIVIDING DECIMALS IS🤗🤗🤗😁😁😁😁😁😁😆😆😆😆😇😇😇😇😆🥳🥳🥳🥳🥳🥳

(cuz… I don’t really pay attention in class…)