638600 ÷ 45 
Our goal is to divide 638600 by 45.

Let's proceed to step 1:
45 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 45

On to step 2:
63 divided by 45 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 45 from 63 leaves us with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 45

Going ahead to step 3:
188 divided by 45 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 180 from 188 leaves us with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 45

Going ahead to step 4:
The number 45 fits into 86 1 times, leaving a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 141.0
Deduct 45 from 86 and we're left with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 45

Step 5:
45 goes into 410 9 times with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 1419.0
The remainder is 5 after subtracting 405 from 410.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 45

Advancing to step 6:
When dividing 50 by 45, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 14191.0
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 45, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 14191.1
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 45, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 14191.11
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 14191.11, and the remainder is 0.005.