44963 ÷ 7 = 6423 R2
Alright, let's work through the division of 44963 by 7 step by step.

Step 1:
7 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 / 7

Step 2:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 44 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 3:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 28 from 29 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 4:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 642
Subtract 14 from 16 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 5:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 6423
Subtract 21 from 23 to get 2.

The final result is 6423 with a remainder of 2.