We look at the division of 5582253 by 591 
Our goal is to divide 5582253 by 591.

Advancing to step 1:
591 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 591

Moving on to step 2:
591 goes into 55 0 times with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Grab the next digit (8) from the dividend, add it to 55, then carry on: 558 / 591

Going ahead to step 3:
591 can be fit into 558 0 times, resulting in a remainder of 558.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 558 leaves us with 558.
Include the next digit (2) from the dividend after 558, then repeat: 5582 / 591

Step 4:
If we divide 5582 by 591, we get 9 and a remainder of 263.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 5319 from 5582 to get 263.
Bring next digit (2) of the dividend behind the 263 and repeat the process: 2632 / 591

Moving on to step 5:
The number 591 fits into 2632 4 times, leaving a remainder of 268.
Use 4 as the next digit of our solution. 
Result so far: 94.0
The remainder is 268 after subtracting 2364 from 2632.
Take the next digit (5) from the dividend and append it to 268, then repeat: 2685 / 591

Moving on to step 6:
2685 divided by 591 is 4 with a remainder of 321.
Use 4 as the next digit of our solution. 
Result so far: 944.0
The remainder is 321 after subtracting 2364 from 2685.
Grab the next digit (3) from the dividend, add it to 321, then carry on: 3213 / 591

Advancing to step 7:
If we divide 3213 by 591, we get 5 and a remainder of 258.
The next digit of our result is 5. 
Result so far: 9445.0
The remainder is 258 after subtracting 2955 from 3213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 8:
2580 divided by 591 is 4 with a remainder of 216.
Record the quotient 4 as the next digit in the result. 
Result so far: 9445.4
Subtract 2364 from 2580 to get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Let's proceed to step 9:
591 can be fit into 2160 3 times, resulting in a remainder of 387.
Record the quotient 3 as the next digit in the result. 
Result so far: 9445.43
If we take 1773 away from 2160, we end up with 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3870, and continue the process.

On to step 10:
When dividing 3870 by 591, we get 6 with a remainder of 324.
Record the quotient 6 as the next digit in the result. 
Result so far: 9445.436
Deduct 3546 from 3870 and we're left with 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Moving on to step 11:
When dividing 3240 by 591, we get 5 with a remainder of 285.
The next digit of our result is 5. 
Result so far: 9445.4365
If we take 2955 away from 3240, we end up with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

On to step 12:
If we divide 2850 by 591, we get 4 and a remainder of 486.
Put 4 as the next digit of the answer. 
Result so far: 9445.43654
Subtracting 2364 from 2850 leaves us with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Advancing to step 13:
The number 591 fits into 4860 8 times, leaving a remainder of 132.
The next digit of our result is 8. 
Result so far: 9445.436548
Deduct 4728 from 4860 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Advancing to step 14:
The number 591 fits into 1320 2 times, leaving a remainder of 138.
The number 2 becomes the next digit in our result. 
Result so far: 9445.4365482
Deduct 1182 from 1320 and we're left 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.

Moving on to step 15:
The number 591 fits into 1380 2 times, leaving a remainder of 198.
Put 2 as the next digit of the answer. 
Result so far: 9445.43654822
If we take 1182 away from 1380, we end up with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

The final outcome is 9445.43654822, with a leftover of 1.98e-07.