79642 ÷ 4 = 19910 R2
Alright, let's work through the division of 79642 by 4 step by step.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 4

Step 2:
4 goes into 39 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 39 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 3:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 199
Subtract 36 from 36 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 4

Step 4:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1991
Subtract 4 from 4 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 5:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 19910
Subtract 0 from 2 to get 2.

The final result is 19910 with a remainder of 2.