79944 ÷ 4 = 19986 R0
Alright, let's work through the division of 79944 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 (9) of the dividend behind the 3 and repeat the process: 39 / 4

Step 3:
4 goes into 39 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 199
Subtract 36 from 39 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Step 4:
4 goes into 34 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1998
Subtract 32 from 34 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 4

Step 5:
4 goes into 24 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 19986
Subtract 24 from 24 to get 0.

The final result is 19986 with a remainder of 0.