97777 ÷ 8 = 12222 R1
No problem, we've got 97777 and 8 for the division.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 2:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 16 from 17 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 3:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 122
Subtract 16 from 17 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 4:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 1222
Subtract 16 from 17 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 5:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12222
Subtract 16 from 17 to get 1.

The final result is 12222 with a remainder of 1.