631645 divided by 45 
Our goal is to divide 631645 by 45.

Step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 45

Let's proceed to step 2:
63 divided by 45 is 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 45 from 63 to get 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 45

Step 3:
If we divide 181 by 45, we get 4 and a remainder of 1.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 180 from 181 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 45

Step 4:
The number 45 fits into 16 0 times, leaving a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 140.0
Deduct 0 from 16 and we're left with 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 45

Advancing to step 5:
164 divided by 45 is 3 with a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 1403.0
If we take 135 away from 164, we end up with 29.
Bring next digit (5) of the dividend behind the 29 and repeat the process: 295 / 45

Moving on to step 6:
When dividing 295 by 45, we get 6 with a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 14036.0
Deduct 270 from 295 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 14036.5
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
When dividing 250 by 45, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 14036.55
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 14036.55, and the remainder is 0.025.