 # Arithmetic - How To Solve Complex Division Problems

## Learn How To Solve Complex Division Problems

To learn the steps in dividing numbers, let's pick a complex problem with a remainder as part of the problem answer, and solve it step by step. Let's start with the example below:

+10√+10207

10√10207

## Divide dividend 10 by divisor 10. The divisor divides evenly in to the dividend which equals 10 ÷ 10 = 1. Put the division result 1 on the answer line. Subtract 1 x 10 = 10 from the dividend value 10. The a remainder of the division is 10 - 10 = 0. Math check: (10 × 1) + 0 = 10.

1
10√10207
-10

0

## The dividend 102 07 is less than the divisor 10. It can not be divided. Put a zero on the answer line and subtract zero from last remainder. Next, add the current dividend value 2 to the current remainder.

10
10√10207
-10

2
-0

## Divide dividend 20 by divisor 10. The divisor divides evenly in to the dividend which equals 20 ÷ 10 = 2. Put the division result 2 on the answer line. Subtract 2 x 10 = 20 from the dividend value 20. The a remainder of the division is 20 - 20 = 0. Math check: (10 × 2) + 0 = 20.

102
10√10207
-10

-0

20
-20

0

## The dividend 10207 is less than the divisor 10. It can not be divided. Put a zero on the answer line and subtract zero from last remainder. Next, append the current dividend value 7 to the current remainder.

1020
10√10207
-10

2
-0

20
-20

7
-0

7

This problem is much more complex for two reasons:
(1) it requires multiple division steps to find the solution.
(2) it can not be divided evenly.

The answer remainder is 7 or stated another way 1020 7/10

(Divisor times Quotient) + Remainder = Dividend

(10 × 1020) + 7 = 10207