We look at the division of 2376139 by 558 
Our goal is to divide 2376139 by 558.

Step 1:
When dividing 2 by 558, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 558

Step 2:
23 divided by 558 is 0 with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 23 leaves us with 23.
Include the next digit (7) from the dividend after 23, then repeat: 237 / 558

Moving on to step 3:
558 goes into 237 0 times with a remainder of 237.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 237 to get 237.
Append the next digit (6) from the dividend to 237 and continue with: 2376 / 558

On to step 4:
2376 divided by 558 is 4 with a remainder of 144.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 2232 from 2376, we get 144.
Take the next digit (1) from the dividend and append it to 144, then repeat: 1441 / 558

Advancing to step 5:
558 can be fit into 1441 2 times, resulting in a remainder of 325.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
If we take 1116 away from 1441, we end up with 325.
Include the next digit (3) from the dividend after 325, then repeat: 3253 / 558

Let's proceed to step 6:
When dividing 3253 by 558, we get 5 with a remainder of 463.
The next digit of our result is 5. 
Result so far: 425.0
If we take 2790 away from 3253, we end up with 463.
Fetch the next digit (9) from the dividend, attach it to 463 and continue: 4639 / 558

Step 7:
558 can be fit into 4639 8 times, resulting in a remainder of 175.
The next digit of our result is 8. 
Result so far: 4258.0
If we take 4464 away from 4639, we end up with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Advancing to step 8:
When dividing 1750 by 558, we get 3 with a remainder of 76.
Write down 3 as next digit of the result. 
Result so far: 4258.3
The remainder is 76 after subtracting 1674 from 1750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
558 can be fit into 760 1 times, resulting in a remainder of 202.
Write down 1 as next digit of the result. 
Result so far: 4258.31
If we take 558 away from 760, we end up with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

On to step 10:
The number 558 fits into 2020 3 times, leaving a remainder of 346.
The number 3 becomes the next digit in our result. 
Result so far: 4258.313
Subtracting 1674 from 2020 leaves us with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

On to step 11:
The number 558 fits into 3460 6 times, leaving a remainder of 112.
Use 6 as the next digit of our solution. 
Result so far: 4258.3136
If we take 3348 away from 3460, we end up with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 12:
If we divide 1120 by 558, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 4258.31362
Subtract 1116 from 1120 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
558 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4258.31362
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
558 can be fit into 400 0 times, resulting in a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 4258.31362
Deduct 0 from 400 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The quotient of the division is 4258.31362, and the remainder is 4e-06.