35634 ÷ 8 = 4454 R2
We're going to perform division on 35634 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 (6) of the dividend behind the 3 and repeat the process: 36 / 8

Step 3:
8 goes into 36 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 32 from 36 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 4:
8 goes into 43 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 445
Subtract 40 from 43 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 5:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4454
Subtract 32 from 34 to get 2.

The final result is 4454 with a remainder of 2.