We look at the division of 5508407 by 874 
Our goal is to divide 5508407 by 874.

Advancing to step 1:
The number 874 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 874

Going ahead to step 2:
When dividing 55 by 874, we get 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Fetch the next digit (0) from the dividend, attach it to 55 and continue: 550 / 874

Advancing to step 3:
If we divide 550 by 874, we get 0 and a remainder of 550.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 550, we end up with 550.
Bring next digit (8) of the dividend behind the 550 and repeat the process: 5508 / 874

Let's proceed to step 4:
The number 874 fits into 5508 6 times, leaving a remainder of 264.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 264 after subtracting 5244 from 5508.
Take the next digit (4) from the dividend and append it to 264, then repeat: 2644 / 874

Step 5:
If we divide 2644 by 874, we get 3 and a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Deduct 2622 from 2644 and we're left with 22.
Fetch the next digit (0) from the dividend, attach it to 22 and continue: 220 / 874

Let's proceed to step 6:
874 goes into 220 0 times with a remainder of 220.
The number 0 becomes the next digit in our result. 
Result so far: 630.0
If we subtract 0 from 220, we get 220.
Include the next digit (7) from the dividend after 220, then repeat: 2207 / 874

Step 7:
874 goes into 2207 2 times with a remainder of 459.
Use 2 as the next digit of our solution. 
Result so far: 6302.0
Subtract 1748 from 2207 to get 459.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4590, and continue the process.

Let's proceed to step 8:
The number 874 fits into 4590 5 times, leaving a remainder of 220.
Record the quotient 5 as the next digit in the result. 
Result so far: 6302.5
Subtract 4370 from 4590 to get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Let's proceed to step 9:
The number 874 fits into 2200 2 times, leaving a remainder of 452.
Write down 2 as next digit of the result. 
Result so far: 6302.52
If we subtract 1748 from 2200, we get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

On to step 10:
4520 divided by 874 is 5 with a remainder of 150.
The next digit of our result is 5. 
Result so far: 6302.525
Subtract 4370 from 4520 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Let's proceed to step 11:
If we divide 1500 by 874, we get 1 and a remainder of 626.
Put 1 as the next digit of the answer. 
Result so far: 6302.5251
The remainder is 626 after subtracting 874 from 1500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Going ahead to step 12:
The number 874 fits into 6260 7 times, leaving a remainder of 142.
The number 7 becomes the next digit in our result. 
Result so far: 6302.52517
Subtracting 6118 from 6260 leaves us with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

On to step 13:
874 goes into 1420 1 times with a remainder of 546.
Record the quotient 1 as the next digit in the result. 
Result so far: 6302.525171
Subtracting 874 from 1420 leaves us with 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

Advancing to step 14:
When dividing 5460 by 874, we get 6 with a remainder of 216.
The next digit of our result is 6. 
Result so far: 6302.5251716
If we take 5244 away from 5460, we end up with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Moving on to step 15:
If we divide 2160 by 874, we get 2 and a remainder of 412.
The next digit of our result is 2. 
Result so far: 6302.52517162
If we take 1748 away from 2160, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

After the division, we end up with 6302.52517162 and a remainder of 4.12e-07.