76341 ÷ 6 = 12723 R3
We're going to perform division on 76341 with 6 as the divisor.

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 (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 2:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 16 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 3:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 127
Subtract 42 from 43 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 4:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 1272
Subtract 12 from 14 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 5:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 12723
Subtract 18 from 21 to get 3.

The final result is 12723 with a remainder of 3.