We look at the division of 10002551 by 561 
We're looking to find how many times 561 goes into 10002551.

Moving on to step 1:
561 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 561

Advancing to step 2:
10 divided by 561 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 561

Going ahead to step 3:
The number 561 fits into 100 0 times, leaving a remainder of 100.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 100, we end up with 100.
Grab the next digit (0) from the dividend, add it to 100, then carry on: 1000 / 561

Let's proceed to step 4:
561 can be fit into 1000 1 times, resulting in a remainder of 439.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 561 from 1000 and we're left with 439.
Grab the next digit (2) from the dividend, add it to 439, then carry on: 4392 / 561

Let's proceed to step 5:
561 goes into 4392 7 times with a remainder of 465.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 3927 from 4392 and we're left with 465.
Take the next digit (5) from the dividend and append it to 465, then repeat: 4655 / 561

On to step 6:
561 can be fit into 4655 8 times, resulting in a remainder of 167.
The next digit of our result is 8. 
Result so far: 178.0
The remainder is 167 after subtracting 4488 from 4655.
Include the next digit (5) from the dividend after 167, then repeat: 1675 / 561

Going ahead to step 7:
1675 divided by 561 is 2 with a remainder of 553.
Write down 2 as next digit of the result. 
Result so far: 1782.0
If we subtract 1122 from 1675, we get 553.
Fetch the next digit (1) from the dividend, attach it to 553 and continue: 5531 / 561

Step 8:
561 goes into 5531 9 times with a remainder of 482.
Put 9 as the next digit of the answer. 
Result so far: 17829.0
Subtract 5049 from 5531 to get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Advancing to step 9:
4820 divided by 561 is 8 with a remainder of 332.
The number 8 becomes the next digit in our result. 
Result so far: 17829.8
Deduct 4488 from 4820 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Going ahead to step 10:
3320 divided by 561 is 5 with a remainder of 515.
Use 5 as the next digit of our solution. 
Result so far: 17829.85
Deduct 2805 from 3320 and we're left 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.

Moving on to step 11:
The number 561 fits into 5150 9 times, leaving a remainder of 101.
Put 9 as the next digit of the answer. 
Result so far: 17829.859
If we take 5049 away from 5150, we end up with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

On to step 12:
If we divide 1010 by 561, we get 1 and a remainder of 449.
The next digit of our result is 1. 
Result so far: 17829.8591
Subtracting 561 from 1010 leaves us with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Moving on to step 13:
If we divide 4490 by 561, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 17829.85918
If we take 4488 away from 4490, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
561 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 17829.85918
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 15:
The number 561 fits into 200 0 times, leaving a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 17829.85918
Deduct 0 from 200 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

After the division, we end up with 17829.85918 and a remainder of 2e-06.