46644 ÷ 7 = 6663 R3
We're going to perform division on 46644 with 7 as the divisor.

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 (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 2:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 46 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 3:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 42 from 46 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 4:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 666
Subtract 42 from 44 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 5:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 6663
Subtract 21 from 24 to get 3.

The final result is 6663 with a remainder of 3.