44372 ÷ 4 = 11093 R0
Alright, let's work through the division of 44372 by 4 step by step.

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

Step 2:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 4 from 4 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 4

Step 3:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 110
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 4:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1109
Subtract 36 from 37 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 4

Step 5:
4 goes into 12 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 11093
Subtract 12 from 12 to get 0.

The final result is 11093 with a remainder of 0.