44970 ÷ 4 = 11242 R2
Alright, let's work through the division of 44970 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 (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 3:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 112
Subtract 8 from 9 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 4:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1124
Subtract 16 from 17 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 5:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 11242
Subtract 8 from 10 to get 2.

The final result is 11242 with a remainder of 2.