# How To: Do algebraic long division

In this video, you can learn how to do algebraic long division. Take an easy example, such as 88 divided by 4. You are actually dividing 4 into 88. You take the 4 and divide it into the 80, and your answer is 20. Multiply (20 x 4) and you get 80, then subtract the 80 from 88 and you get 8. You then divide 4 into the remaining 8 and your answer is 2, giving you a final answer of 22. Try a harder problem, such as 2105 divided by 12. You are dividing 12 into 2105. The easiest way to handle this is first multiply 12 by 1 through 9; (12 x 1 = 12), (12 x 2 = 24), (12 x 3 = 36), (12 x 4 = 48), (12 x 5 = 60), (12 x 6 = 72), (12 x 7 = 84), (12 x 8 = 96) and (12 x 9 = 108). Since you have these numbers you can then determine how many times 12 goes into each number. Divide 12 into 2, which is zero, multiply (0 x 12 = 0) and put 0 under 2. Subtract 0 from 2 and you get 2. Bring down the next number, which is 1. Divide 12 into 21, which is 1. Multiply (1 x 12 = 12) and put 12 under the 21. Subtract 12 from 21 and you get 9. Bring down the next number in the problem, which is 0. Divide 12 into 90 and from the multiplication above, we know that it is 7. Multiply (7 x 12 = 84) and put 84 under the 90. Subtract 84 from 90, which is 6. Bring down the next number, which is 5. Divide 12 into 65, which is 5 and then multiply (5 x 12 = 60). Put the 60 under the 65 and subtract it. The remainder is 5. Your answer is 175 with a remainder of 5. Check your work on your calculator but if you follow the above example, you will get the right answer every time.
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