We look at the division of 34103888 by 638 
We want to figure out the number of times 34103888 can be divided by 638.

On to step 1:
If we divide 3 by 638, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 638

Going ahead to step 2:
If we divide 34 by 638, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 638

Step 3:
341 divided by 638 is 0 with a remainder of 341.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 341 to get 341.
Include the next digit (0) from the dividend after 341, then repeat: 3410 / 638

Advancing to step 4:
638 can be fit into 3410 5 times, resulting in a remainder of 220.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 3190 away from 3410, we end up with 220.
Grab the next digit (3) from the dividend, add it to 220, then carry on: 2203 / 638

Let's proceed to step 5:
If we divide 2203 by 638, we get 3 and a remainder of 289.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Deduct 1914 from 2203 and we're left with 289.
Take the next digit (8) from the dividend and append it to 289, then repeat: 2898 / 638

Moving on to step 6:
638 can be fit into 2898 4 times, resulting in a remainder of 346.
Use 4 as the next digit of our solution. 
Result so far: 534.0
Deduct 2552 from 2898 and we're left with 346.
Fetch the next digit (8) from the dividend, attach it to 346 and continue: 3468 / 638

Moving on to step 7:
3468 divided by 638 is 5 with a remainder of 278.
Record the quotient 5 as the next digit in the result. 
Result so far: 5345.0
Deduct 3190 from 3468 and we're left with 278.
Fetch the next digit (8) from the dividend, attach it to 278 and continue: 2788 / 638

On to step 8:
638 can be fit into 2788 4 times, resulting in a remainder of 236.
The number 4 becomes the next digit in our result. 
Result so far: 53454.0
Subtract 2552 from 2788 to get 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Advancing to step 9:
638 can be fit into 2360 3 times, resulting in a remainder of 446.
Record the quotient 3 as the next digit in the result. 
Result so far: 53454.3
Subtracting 1914 from 2360 leaves us with 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

On to step 10:
638 can be fit into 4460 6 times, resulting in a remainder of 632.
Put 6 as the next digit of the answer. 
Result so far: 53454.36
If we subtract 3828 from 4460, we get 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Step 11:
When dividing 6320 by 638, we get 9 with a remainder of 578.
Write down 9 as next digit of the result. 
Result so far: 53454.369
Subtracting 5742 from 6320 leaves us with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 12:
The number 638 fits into 5780 9 times, leaving a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 53454.3699
If we subtract 5742 from 5780, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 53454.3699 with a remainder of 0.00038.