71355 ÷ 7 = 10193 R4
No problem, we've got 71355 and 7 for the division.

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 (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 101
Subtract 7 from 13 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 4:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 1019
Subtract 63 from 65 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 5:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 10193
Subtract 21 from 25 to get 4.

The final result is 10193 with a remainder of 4.