59568 ÷ 3 = 19856 R0
Alright, let's work through the division of 59568 by 3 step by step.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 2:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 27 from 29 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: 198
Subtract 24 from 25 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 4:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1985
Subtract 15 from 16 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 5:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 19856
Subtract 18 from 18 to get 0.

The final result is 19856 with a remainder of 0.