We look at the division of 42174001 by 127 
We're looking to find how many times 127 goes into 42174001.

On to step 1:
The number 127 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 127

Let's proceed to step 2:
When dividing 42 by 127, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 127

Moving on to step 3:
421 divided by 127 is 3 with a remainder of 40.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 381 from 421 to get 40.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 127

On to step 4:
407 divided by 127 is 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 381 from 407 and we're left with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 127

Step 5:
When dividing 264 by 127, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 332.0
Subtracting 254 from 264 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 127

Advancing to step 6:
127 can be fit into 100 0 times, resulting in a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 3320.0
Subtract 0 from 100 to get 100.
Grab the next digit (0) from the dividend, add it to 100, then carry on: 1000 / 127

On to step 7:
127 can be fit into 1000 7 times, resulting in a remainder of 111.
The next digit of our result is 7. 
Result so far: 33207.0
Subtract 889 from 1000 to get 111.
Grab the next digit (1) from the dividend, add it to 111, then carry on: 1111 / 127

Going ahead to step 8:
When dividing 1111 by 127, we get 8 with a remainder of 95.
The number 8 becomes the next digit in our result. 
Result so far: 332078.0
Deduct 1016 from 1111 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 9:
The number 127 fits into 950 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 332078.7
If we subtract 889 from 950, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 10:
127 can be fit into 610 4 times, resulting in a remainder of 102.
Use 4 as the next digit of our solution. 
Result so far: 332078.74
The remainder is 102 after subtracting 508 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 11:
1020 divided by 127 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 332078.748
Subtract 1016 from 1020 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.

Moving on to step 12:
If we divide 40 by 127, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 332078.748
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.

Step 13:
If we divide 400 by 127, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 332078.74803
If we take 381 away from 400, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
190 divided by 127 is 1 with a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 332078.748031
The remainder is 63 after subtracting 127 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 15:
If we divide 630 by 127, we get 4 and a remainder of 122.
The number 4 becomes the next digit in our result. 
Result so far: 332078.7480314
The remainder is 122 after subtracting 508 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Step 16:
1220 divided by 127 is 9 with a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 332078.74803149
Subtract 1143 from 1220 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

After the division, we end up with 332078.74803149 and a remainder of 7.7e-08.