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Math K-Plus

Arithmetic - How To Solve Complex Division Problems

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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:



Divide Two Positive Integer Numbers





 +10√+10207



  10√10207







The dividend 10207 is less than the divisor 10.
It can not be divided by the divisor.



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