How to Do Long Division

Mahalo math expert Julie Clark explains how to do long division.

How to Do Long Division
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The first step in long division is to set up the problem correctly. If the problem is 3,348 divided by 4, the first number (the dividend) goes inside the division sign. The second number (the divisor) goes on the left of the division sign. Next, you want to figure out how many times the divisor goes into the dividend by looking at one digit at a time. Does 4 go into 3? No. Include the next digit of the dividend. Does 4 go into 33? Yes, 4 goes into 33 8 times. Write that number, 8, above the second digit. Now multiply the divisor (4) times 8 to get 32, and write that below the first two digits. Subtract the second number (32) from the first one (33) and write the answer (1) below. Continue the problem by bringing down the next digit of the dividend, which is 4. This makes a 14 at the bottom of the equation. Now figure out how many times the divisor (4) goes into 14. Write the answer (3) above the third digit of the dividend. Multiply the divisor (4) times 3 to get 12, and write that below the 14. Subtract 12 from 14 like you did before with the 32 and 33. This gives you 2. Then bring down the fourth digit, 8, to make 28 at the bottom. Find how many times the divisor (4) goes into 28. Write the answer (7) above the division sign over the fourth digit.You can find the remainder by multiplying the last digit (7) by the divisor and writing that number (28) below the number at the bottom. Subtract the second number (28) from the first (28). This number (0) is your remainder. 3,348 divided by 4 equals 837. 

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[Sloppyjoemess]

Forget math class... I'VE GOT MAHALO.COM!

[mahalodotcom]

@Sloppyjoemess Thanks for the AWESOME comment! It's people like you who inspire our work over here at Mahalo.

[TheBootieChrist]

why do we need school when we got the internet?

[rissadissa1]

thankyou so much , nobody else could explain this to me, well done :3

[voon100]

Single divider is quite straight forward. I like to see how to work out 10 units divisions.

[LexxieSings3667]

@passwordbird ok then.................

[passwordbird]

Dam she fine

[SuperZizify]

wow!!!! thanks SO MUCH i have been having a lot of trouble with division and you are just one math wiz and you explain it so well thank you

[LexxieSings3667]

When you explain it it make's it SOOOOOO much easier!!

[docterrose]

thank you thank you thank you

[morfdadball]

blows chunks

[LexxieSings3667]

Thanks Julie!!