59289 ÷ 6 = 9881 R3
Let's divide 59289 by 6.

Step 1:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Step 2:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 59 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 3:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 98
Subtract 48 from 52 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 6

Step 4:
6 goes into 48 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 988
Subtract 48 from 48 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Step 5:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 9881
Subtract 6 from 9 to get 3.

The final result is 9881 with a remainder of 3.