We're dividing 31632507 by 603 
Our goal is to divide 31632507 by 603.

Let's proceed to step 1:
When dividing 3 by 603, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 603

Step 2:
When dividing 31 by 603, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 603

Advancing to step 3:
If we divide 316 by 603, we get 0 and a remainder of 316.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 316 and we're left with 316.
Bring next digit (3) of the dividend behind the 316 and repeat the process: 3163 / 603

Step 4:
603 goes into 3163 5 times with a remainder of 148.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 3015 away from 3163, we end up with 148.
Grab the next digit (2) from the dividend, add it to 148, then carry on: 1482 / 603

Step 5:
If we divide 1482 by 603, we get 2 and a remainder of 276.
Write down 2 as next digit of the result. 
Result so far: 52.0
Deduct 1206 from 1482 and we're left with 276.
Append the next digit (5) from the dividend to 276 and continue with: 2765 / 603

On to step 6:
When dividing 2765 by 603, we get 4 with a remainder of 353.
Use 4 as the next digit of our solution. 
Result so far: 524.0
Subtracting 2412 from 2765 leaves us with 353.
Take the next digit (0) from the dividend and append it to 353, then repeat: 3530 / 603

Moving on to step 7:
603 can be fit into 3530 5 times, resulting in a remainder of 515.
Use 5 as the next digit of our solution. 
Result so far: 5245.0
If we take 3015 away from 3530, we end up with 515.
Fetch the next digit (7) from the dividend, attach it to 515 and continue: 5157 / 603

Going ahead to step 8:
If we divide 5157 by 603, we get 8 and a remainder of 333.
The number 8 becomes the next digit in our result. 
Result so far: 52458.0
If we take 4824 away from 5157, we end up with 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3330, and continue the process.

Moving on to step 9:
If we divide 3330 by 603, we get 5 and a remainder of 315.
Write down 5 as next digit of the result. 
Result so far: 52458.5
Subtract 3015 from 3330 to get 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Moving on to step 10:
The number 603 fits into 3150 5 times, leaving a remainder of 135.
The number 5 becomes the next digit in our result. 
Result so far: 52458.55
Subtracting 3015 from 3150 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

The quotient of the division is 52458.55, and the remainder is 0.135.