44137 ÷ 6 = 7356 R1
Alright, let's work through the division of 44137 by 6 step by step.

Step 1:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 2:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 42 from 44 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 3:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 73
Subtract 18 from 21 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 4:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 735
Subtract 30 from 33 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 5:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 7356
Subtract 36 from 37 to get 1.

The final result is 7356 with a remainder of 1.