We look at the division of 71970972 by 637 
Our goal is to divide 71970972 by 637.

Advancing to step 1:
637 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 637

Moving on to step 2:
637 can be fit into 71 0 times, resulting in a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Bring next digit (9) of the dividend behind the 71 and repeat the process: 719 / 637

Moving on to step 3:
The number 637 fits into 719 1 times, leaving a remainder of 82.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 637 from 719, we get 82.
Bring next digit (7) of the dividend behind the 82 and repeat the process: 827 / 637

On to step 4:
When dividing 827 by 637, we get 1 with a remainder of 190.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 637 from 827 leaves us with 190.
Append the next digit (0) from the dividend to 190 and continue with: 1900 / 637

Moving on to step 5:
When dividing 1900 by 637, we get 2 with a remainder of 626.
Use 2 as the next digit of our solution. 
Result so far: 112.0
If we take 1274 away from 1900, we end up with 626.
Include the next digit (9) from the dividend after 626, then repeat: 6269 / 637

Advancing to step 6:
637 goes into 6269 9 times with a remainder of 536.
The number 9 becomes the next digit in our result. 
Result so far: 1129.0
Subtracting 5733 from 6269 leaves us with 536.
Include the next digit (7) from the dividend after 536, then repeat: 5367 / 637

Going ahead to step 7:
637 can be fit into 5367 8 times, resulting in a remainder of 271.
The next digit of our result is 8. 
Result so far: 11298.0
The remainder is 271 after subtracting 5096 from 5367.
Append the next digit (2) from the dividend to 271 and continue with: 2712 / 637

Moving on to step 8:
If we divide 2712 by 637, we get 4 and a remainder of 164.
Use 4 as the next digit of our solution. 
Result so far: 112984.0
Deduct 2548 from 2712 and we're left with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

On to step 9:
When dividing 1640 by 637, we get 2 with a remainder of 366.
Use 2 as the next digit of our solution. 
Result so far: 112984.2
If we subtract 1274 from 1640, we get 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Step 10:
637 can be fit into 3660 5 times, resulting in a remainder of 475.
The next digit of our result is 5. 
Result so far: 112984.25
The remainder is 475 after subtracting 3185 from 3660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Let's proceed to step 11:
637 goes into 4750 7 times with a remainder of 291.
The next digit of our result is 7. 
Result so far: 112984.257
If we subtract 4459 from 4750, we get 291.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2910, and continue the process.

Moving on to step 12:
637 goes into 2910 4 times with a remainder of 362.
The next digit of our result is 4. 
Result so far: 112984.2574
The remainder is 362 after subtracting 2548 from 2910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Moving on to step 13:
637 can be fit into 3620 5 times, resulting in a remainder of 435.
Record the quotient 5 as the next digit in the result. 
Result so far: 112984.25745
If we subtract 3185 from 3620, we get 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Step 14:
The number 637 fits into 4350 6 times, leaving a remainder of 528.
The next digit of our result is 6. 
Result so far: 112984.257456
If we take 3822 away from 4350, we end up with 528.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5280, and continue the process.

Step 15:
5280 divided by 637 is 8 with a remainder of 184.
The number 8 becomes the next digit in our result. 
Result so far: 112984.2574568
The remainder is 184 after subtracting 5096 from 5280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

On to step 16:
If we divide 1840 by 637, we get 2 and a remainder of 566.
Use 2 as the next digit of our solution. 
Result so far: 112984.25745682
If we subtract 1274 from 1840, we get 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

After the division, we end up with 112984.25745682 and a remainder of 5.66e-07.