3732667 ÷ 563 
Our goal is to divide 3732667 by 563.

Step 1:
3 divided by 563 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 563

Moving on to step 2:
37 divided by 563 is 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 563

Going ahead to step 3:
373 divided by 563 is 0 with a remainder of 373.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 373, we get 373.
Take the next digit (2) from the dividend and append it to 373, then repeat: 3732 / 563

Step 4:
3732 divided by 563 is 6 with a remainder of 354.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 3378 from 3732 to get 354.
Take the next digit (6) from the dividend and append it to 354, then repeat: 3546 / 563

Advancing to step 5:
563 can be fit into 3546 6 times, resulting in a remainder of 168.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we take 3378 away from 3546, we end up with 168.
Fetch the next digit (6) from the dividend, attach it to 168 and continue: 1686 / 563

Moving on to step 6:
If we divide 1686 by 563, we get 2 and a remainder of 560.
The next digit of our result is 2. 
Result so far: 662.0
If we take 1126 away from 1686, we end up with 560.
Append the next digit (7) from the dividend to 560 and continue with: 5607 / 563

On to step 7:
563 goes into 5607 9 times with a remainder of 540.
The number 9 becomes the next digit in our result. 
Result so far: 6629.0
If we take 5067 away from 5607, we end up with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Let's proceed to step 8:
If we divide 5400 by 563, we get 9 and a remainder of 333.
The number 9 becomes the next digit in our result. 
Result so far: 6629.9
The remainder is 333 after subtracting 5067 from 5400.
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:
When dividing 3330 by 563, we get 5 with a remainder of 515.
Record the quotient 5 as the next digit in the result. 
Result so far: 6629.95
If we take 2815 away from 3330, we end up with 515.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5150, and continue the process.

Going ahead to step 10:
When dividing 5150 by 563, we get 9 with a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 6629.959
If we take 5067 away from 5150, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 11:
If we divide 830 by 563, we get 1 and a remainder of 267.
Record the quotient 1 as the next digit in the result. 
Result so far: 6629.9591
If we subtract 563 from 830, we get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Step 12:
2670 divided by 563 is 4 with a remainder of 418.
Write down 4 as next digit of the result. 
Result so far: 6629.95914
The remainder is 418 after subtracting 2252 from 2670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Going ahead to step 13:
If we divide 4180 by 563, we get 7 and a remainder of 239.
The next digit of our result is 7. 
Result so far: 6629.959147
Subtract 3941 from 4180 to get 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

Going ahead to step 14:
When dividing 2390 by 563, we get 4 with a remainder of 138.
The number 4 becomes the next digit in our result. 
Result so far: 6629.9591474
Subtracting 2252 from 2390 leaves us with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Let's proceed to step 15:
The number 563 fits into 1380 2 times, leaving a remainder of 254.
The next digit of our result is 2. 
Result so far: 6629.95914742
If we take 1126 away from 1380, we end up with 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

The final outcome is 6629.95914742, with a leftover of 2.54e-07.