17705 ÷ 4 = 4426 R1
Let's divide 17705 by 4.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 2:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 16 from 17 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 3:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 16 from 17 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 4:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 442
Subtract 8 from 10 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 5:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 4426
Subtract 24 from 25 to get 1.

The final result is 4426 with a remainder of 1.