1261 ÷ 8 = 157 R5
No problem, we've got 1261 and 8 for the division.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 2:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 12 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 3:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 40 from 46 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: 157
Subtract 56 from 61 to get 5.

The final result is 157 with a remainder of 5.