18643 ÷ 7 = 2663 R2
We're going to perform division on 18643 with 7 as the divisor.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 2:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 18 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: 26
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: 266
Subtract 42 from 44 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: 2663
Subtract 21 from 23 to get 2.

The final result is 2663 with a remainder of 2.