35760 ÷ 4 = 8940 R0
Alright, let's work through the division of 35760 by 4 step by step.

Step 1:
4 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 / 4

Step 2:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 32 from 35 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 3:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 89
Subtract 36 from 37 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 4:
4 goes into 16 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 894
Subtract 16 from 16 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 4

Step 5:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 8940
Subtract 0 from 0 to get 0.

The final result is 8940 with a remainder of 0.