35132 ÷ 2 = 17566 R0
Alright, let's work through the division of 35132 by 2 step by step.

Step 1:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 2 from 3 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Step 2:
2 goes into 15 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 14 from 15 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Step 3:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 175
Subtract 10 from 11 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 4:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1756
Subtract 12 from 13 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 2

Step 5:
2 goes into 12 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 17566
Subtract 12 from 12 to get 0.

The final result is 17566 with a remainder of 0.