We're dividing 37108140 by 558 
We're looking to find how many times 558 goes into 37108140.

On to step 1:
If we divide 3 by 558, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 558

Moving on to step 2:
The number 558 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 558

On to step 3:
558 goes into 371 0 times with a remainder of 371.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 371 to get 371.
Fetch the next digit (0) from the dividend, attach it to 371 and continue: 3710 / 558

Going ahead to step 4:
When dividing 3710 by 558, we get 6 with a remainder of 362.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 3348 from 3710 and we're left with 362.
Take the next digit (8) from the dividend and append it to 362, then repeat: 3628 / 558

Going ahead to step 5:
3628 divided by 558 is 6 with a remainder of 280.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 3348 from 3628, we get 280.
Take the next digit (1) from the dividend and append it to 280, then repeat: 2801 / 558

On to step 6:
2801 divided by 558 is 5 with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 665.0
If we subtract 2790 from 2801, we get 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 558

Going ahead to step 7:
114 divided by 558 is 0 with a remainder of 114.
Record the quotient 0 as the next digit in the result. 
Result so far: 6650.0
Deduct 0 from 114 and we're left with 114.
Grab the next digit (0) from the dividend, add it to 114, then carry on: 1140 / 558

Going ahead to step 8:
The number 558 fits into 1140 2 times, leaving a remainder of 24.
The next digit of our result is 2. 
Result so far: 66502.0
If we take 1116 away from 1140, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
When dividing 240 by 558, we get 0 with a remainder of 240.
Put 0 as the next digit of the answer. 
Result so far: 66502.0
Subtract 0 from 240 to get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Moving on to step 10:
The number 558 fits into 2400 4 times, leaving a remainder of 168.
Put 4 as the next digit of the answer. 
Result so far: 66502.04
The remainder is 168 after subtracting 2232 from 2400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 11:
558 goes into 1680 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 66502.043
If we take 1674 away from 1680, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
If we divide 60 by 558, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 66502.043
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 13:
If we divide 600 by 558, we get 1 and a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 66502.04301
If we take 558 away from 600, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 14:
558 goes into 420 0 times with a remainder of 420.
The number 0 becomes the next digit in our result. 
Result so far: 66502.04301
The remainder is 420 after subtracting 0 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Moving on to step 15:
4200 divided by 558 is 7 with a remainder of 294.
The next digit of our result is 7. 
Result so far: 66502.0430107
Subtracting 3906 from 4200 leaves us with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Moving on to step 16:
The number 558 fits into 2940 5 times, leaving a remainder of 150.
The number 5 becomes the next digit in our result. 
Result so far: 66502.04301075
Subtract 2790 from 2940 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.

The final outcome is 66502.04301075, with a leftover of 1.5e-07.