75981 ÷ 7 = 10854 R3
We're going to perform division on 75981 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 (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 2:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 7

Step 3:
7 goes into 59 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 56 from 59 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 4:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 1085
Subtract 35 from 38 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 5:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 10854
Subtract 28 from 31 to get 3.

The final result is 10854 with a remainder of 3.