Let's divide 353075 by 638
Our goal is to divide 353075 by 638.

Advancing to step 1:
3 divided by 638 is 0 with 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.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 638

Let's proceed to step 2:
When dividing 35 by 638, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 638

Step 3:
When dividing 353 by 638, we get 0 with a remainder of 353.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 353 and we're left with 353.
Take the next digit (0) from the dividend and append it to 353, then repeat: 3530 / 638

On to step 4:
3530 divided by 638 is 5 with a remainder of 340.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 3190 from 3530 and we're left with 340.
Grab the next digit (7) from the dividend, add it to 340, then carry on: 3407 / 638

Step 5:
638 goes into 3407 5 times with a remainder of 217.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtracting 3190 from 3407 leaves us with 217.
Include the next digit (5) from the dividend after 217, then repeat: 2175 / 638

Moving on to step 6:
The number 638 fits into 2175 3 times, leaving a remainder of 261.
Record the quotient 3 as the next digit in the result. 
Result so far: 553.0
If we subtract 1914 from 2175, we get 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Advancing to step 7:
When dividing 2610 by 638, we get 4 with a remainder of 58.
Record the quotient 4 as the next digit in the result. 
Result so far: 553.4
If we take 2552 away from 2610, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
If we divide 580 by 638, we get 0 and a remainder of 580.
Put 0 as the next digit of the answer. 
Result so far: 553.4
Subtracting 0 from 580 leaves us with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Let's proceed to step 9:
When dividing 5800 by 638, we get 9 with a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 553.409
The remainder is 58 after subtracting 5742 from 5800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
638 goes into 580 0 times with a remainder of 580.
The number 0 becomes the next digit in our result. 
Result so far: 553.409
If we take 0 away from 580, we end up with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Advancing to step 11:
If we divide 5800 by 638, we get 9 and a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 553.40909
If we subtract 5742 from 5800, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 12:
If we divide 580 by 638, we get 0 and a remainder of 580.
Record the quotient 0 as the next digit in the result. 
Result so far: 553.40909
If we subtract 0 from 580, we get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 13:
5800 divided by 638 is 9 with a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 553.4090909
The remainder is 58 after subtracting 5742 from 5800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 14:
580 divided by 638 is 0 with a remainder of 580.
Record the quotient 0 as the next digit in the result. 
Result so far: 553.4090909
Deduct 0 from 580 and we're left with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Our division results in 553.4090909 with a remaining 5.8e-07.