75962 ÷ 6 = 12660 R2
Let's divide 75962 by 6.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 2:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 15 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Step 3:
6 goes into 39 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 126
Subtract 36 from 39 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 4:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 1266
Subtract 36 from 36 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Step 5:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 12660
Subtract 0 from 2 to get 2.

The final result is 12660 with a remainder of 2.