35579 ÷ 3 = 11859 R2
We're going to perform division on 35579 with 3 as the divisor.

Step 1:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 3 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 3 from 5 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Step 3:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 118
Subtract 24 from 25 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 4:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1185
Subtract 15 from 17 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 5:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 11859
Subtract 27 from 29 to get 2.

The final result is 11859 with a remainder of 2.