35375 ÷ 8 = 4421 R7
Let's divide 35375 by 8.

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 (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 3:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 32 from 33 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: 442
Subtract 16 from 17 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 8

Step 5:
8 goes into 15 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 4421
Subtract 8 from 15 to get 7.

The final result is 4421 with a remainder of 7.