71242529 ÷ 638 
We want to divide 71242529 by 638.

Going ahead to step 1:
When dividing 7 by 638, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 638

Moving on to step 2:
71 divided by 638 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Grab the next digit (2) from the dividend, add it to 71, then carry on: 712 / 638

Moving on to step 3:
If we divide 712 by 638, we get 1 and a remainder of 74.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 638 from 712 leaves us with 74.
Take the next digit (4) from the dividend and append it to 74, then repeat: 744 / 638

Step 4:
638 goes into 744 1 times with a remainder of 106.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 638 from 744, we get 106.
Append the next digit (2) from the dividend to 106 and continue with: 1062 / 638

Advancing to step 5:
If we divide 1062 by 638, we get 1 and a remainder of 424.
Write down 1 as next digit of the result. 
Result so far: 111.0
Deduct 638 from 1062 and we're left with 424.
Fetch the next digit (5) from the dividend, attach it to 424 and continue: 4245 / 638

Let's proceed to step 6:
The number 638 fits into 4245 6 times, leaving a remainder of 417.
The number 6 becomes the next digit in our result. 
Result so far: 1116.0
If we take 3828 away from 4245, we end up with 417.
Take the next digit (2) from the dividend and append it to 417, then repeat: 4172 / 638

Moving on to step 7:
638 goes into 4172 6 times with a remainder of 344.
Record the quotient 6 as the next digit in the result. 
Result so far: 11166.0
Subtracting 3828 from 4172 leaves us with 344.
Take the next digit (9) from the dividend and append it to 344, then repeat: 3449 / 638

Going ahead to step 8:
The number 638 fits into 3449 5 times, leaving a remainder of 259.
Use 5 as the next digit of our solution. 
Result so far: 111665.0
Deduct 3190 from 3449 and we're left with 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Step 9:
The number 638 fits into 2590 4 times, leaving a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 111665.4
Deduct 2552 from 2590 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
The number 638 fits into 380 0 times, leaving a remainder of 380.
The next digit of our result is 0. 
Result so far: 111665.4
Subtract 0 from 380 to get 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Going ahead to step 11:
If we divide 3800 by 638, we get 5 and a remainder of 610.
The next digit of our result is 5. 
Result so far: 111665.405
If we take 3190 away from 3800, we end up with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Step 12:
When dividing 6100 by 638, we get 9 with a remainder of 358.
Record the quotient 9 as the next digit in the result. 
Result so far: 111665.4059
The remainder is 358 after subtracting 5742 from 6100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Advancing to step 13:
The number 638 fits into 3580 5 times, leaving a remainder of 390.
Use 5 as the next digit of our solution. 
Result so far: 111665.40595
Subtracting 3190 from 3580 leaves us with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Let's proceed to step 14:
If we divide 3900 by 638, we get 6 and a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 111665.405956
The remainder is 72 after subtracting 3828 from 3900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 15:
The number 638 fits into 720 1 times, leaving a remainder of 82.
Use 1 as the next digit of our solution. 
Result so far: 111665.4059561
Deduct 638 from 720 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 16:
638 can be fit into 820 1 times, resulting in a remainder of 182.
Use 1 as the next digit of our solution. 
Result so far: 111665.40595611
The remainder is 182 after subtracting 638 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

The final outcome is 111665.40595611, with a leftover of 1.82e-07.