5101 ÷ 8 = 637 R5
We're going to perform division on 5101 with 8 as the divisor.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 2:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 51 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 3:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 63
Subtract 24 from 30 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 4:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 637
Subtract 56 from 61 to get 5.

The final result is 637 with a remainder of 5.