623 ÷ 5 = 124 R3
No problem, we've got 623 and 5 for the division.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 2:
5 goes into 12 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 10 from 12 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 5

Step 3:
5 goes into 23 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 124
Subtract 20 from 23 to get 3.

The final result is 124 with a remainder of 3.