35022 ÷ 8 = 4377 R6
We're going to perform division on 35022 with 8 as the divisor.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 2:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 35 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: 43
Subtract 24 from 30 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 4:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 437
Subtract 56 from 62 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 5:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 4377
Subtract 56 from 62 to get 6.

The final result is 4377 with a remainder of 6.