79461 ÷ 6 = 13243 R3
Alright, let's work through the division of 79461 by 6 step by step.

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 (9) of the dividend behind the 1 and repeat the process: 19 / 6

Step 2:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 18 from 19 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 3:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 132
Subtract 12 from 14 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 4:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1324
Subtract 24 from 26 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: 13243
Subtract 18 from 21 to get 3.

The final result is 13243 with a remainder of 3.