35739 ÷ 8 = 4467 R3
Alright, let's work through the division of 35739 by 8 step by step.

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 (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 3:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 32 from 37 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 4:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 446
Subtract 48 from 53 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 5:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 4467
Subtract 56 from 59 to get 3.

The final result is 4467 with a remainder of 3.