71812 ÷ 7 = 10258 R6
We're going to perform division on 71812 with 7 as the divisor.

Step 1:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 2:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 3:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 102
Subtract 14 from 18 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 4:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 1025
Subtract 35 from 41 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 5:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 10258
Subtract 56 from 62 to get 6.

The final result is 10258 with a remainder of 6.