Let's divide 553624 by 61
Our goal is to divide 553624 by 61.

On to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 61

Advancing to step 2:
The number 61 fits into 55 0 times, leaving a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 61

Step 3:
When dividing 553 by 61, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 549 from 553 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 61

Advancing to step 4:
61 can be fit into 46 0 times, resulting in a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtract 0 from 46 to get 46.
Append the next digit (2) from the dividend to 46 and continue with: 462 / 61

Going ahead to step 5:
61 can be fit into 462 7 times, resulting in a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 907.0
If we take 427 away from 462, we end up with 35.
Grab the next digit (4) from the dividend, add it to 35, then carry on: 354 / 61

Moving on to step 6:
61 goes into 354 5 times with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 9075.0
The remainder is 49 after subtracting 305 from 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
490 divided by 61 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 9075.8
Subtract 488 from 490 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 61, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9075.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
61 goes into 200 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 9075.803
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
61 can be fit into 170 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 9075.8032
If we take 122 away from 170, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 9075.80327
Deduct 427 from 480 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 12:
530 divided by 61 is 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 9075.803278
If we subtract 488 from 530, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
420 divided by 61 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 9075.8032786
Deduct 366 from 420 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 14:
540 divided by 61 is 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 9075.80327868
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 9075.80327868 with a remainder of 5.2e-08.