We look at the division of 37807673 by 638 
We want to figure out the number of times 37807673 can be divided by 638.

Advancing to step 1:
3 divided by 638 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 638

Let's proceed to step 2:
37 divided by 638 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 638

Let's proceed to step 3:
If we divide 378 by 638, we get 0 and a remainder of 378.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 378 leaves us with 378.
Bring next digit (0) of the dividend behind the 378 and repeat the process: 3780 / 638

Advancing to step 4:
If we divide 3780 by 638, we get 5 and a remainder of 590.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 3190 from 3780 to get 590.
Grab the next digit (7) from the dividend, add it to 590, then carry on: 5907 / 638

Step 5:
638 can be fit into 5907 9 times, resulting in a remainder of 165.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we subtract 5742 from 5907, we get 165.
Bring next digit (6) of the dividend behind the 165 and repeat the process: 1656 / 638

Going ahead to step 6:
638 goes into 1656 2 times with a remainder of 380.
Write down 2 as next digit of the result. 
Result so far: 592.0
Subtract 1276 from 1656 to get 380.
Include the next digit (7) from the dividend after 380, then repeat: 3807 / 638

Moving on to step 7:
3807 divided by 638 is 5 with a remainder of 617.
The number 5 becomes the next digit in our result. 
Result so far: 5925.0
If we take 3190 away from 3807, we end up with 617.
Grab the next digit (3) from the dividend, add it to 617, then carry on: 6173 / 638

Advancing to step 8:
If we divide 6173 by 638, we get 9 and a remainder of 431.
Write down 9 as next digit of the result. 
Result so far: 59259.0
Deduct 5742 from 6173 and we're left with 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Moving on to step 9:
638 goes into 4310 6 times with a remainder of 482.
Write down 6 as next digit of the result. 
Result so far: 59259.6
Subtract 3828 from 4310 to get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

On to step 10:
4820 divided by 638 is 7 with a remainder of 354.
Record the quotient 7 as the next digit in the result. 
Result so far: 59259.67
Deduct 4466 from 4820 and we're left with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Going ahead to step 11:
638 can be fit into 3540 5 times, resulting in a remainder of 350.
The number 5 becomes the next digit in our result. 
Result so far: 59259.675
If we subtract 3190 from 3540, we get 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Moving on to step 12:
The number 638 fits into 3500 5 times, leaving a remainder of 310.
Put 5 as the next digit of the answer. 
Result so far: 59259.6755
Deduct 3190 from 3500 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

The final outcome is 59259.6755, with a leftover of 0.0031.