We look at the division of 4715374 by 635 
We want to figure out the number of times 4715374 can be divided by 635.

Going ahead to step 1:
The number 635 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 635

Step 2:
The number 635 fits into 47 0 times, leaving a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Grab the next digit (1) from the dividend, add it to 47, then carry on: 471 / 635

Let's proceed to step 3:
When dividing 471 by 635, we get 0 with a remainder of 471.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 471, we end up with 471.
Append the next digit (5) from the dividend to 471 and continue with: 4715 / 635

Step 4:
If we divide 4715 by 635, we get 7 and a remainder of 270.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 4445 from 4715 and we're left with 270.
Include the next digit (3) from the dividend after 270, then repeat: 2703 / 635

Step 5:
2703 divided by 635 is 4 with a remainder of 163.
Use 4 as the next digit of our solution. 
Result so far: 74.0
Deduct 2540 from 2703 and we're left with 163.
Grab the next digit (7) from the dividend, add it to 163, then carry on: 1637 / 635

Let's proceed to step 6:
635 goes into 1637 2 times with a remainder of 367.
The next digit of our result is 2. 
Result so far: 742.0
Deduct 1270 from 1637 and we're left with 367.
Fetch the next digit (4) from the dividend, attach it to 367 and continue: 3674 / 635

Step 7:
The number 635 fits into 3674 5 times, leaving a remainder of 499.
Record the quotient 5 as the next digit in the result. 
Result so far: 7425.0
Deduct 3175 from 3674 and we're left with 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4990, and continue the process.

Going ahead to step 8:
When dividing 4990 by 635, we get 7 with a remainder of 545.
Use 7 as the next digit of our solution. 
Result so far: 7425.7
Subtract 4445 from 4990 to get 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Step 9:
The number 635 fits into 5450 8 times, leaving a remainder of 370.
Write down 8 as next digit of the result. 
Result so far: 7425.78
Deduct 5080 from 5450 and we're left with 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Going ahead to step 10:
The number 635 fits into 3700 5 times, leaving a remainder of 525.
The next digit of our result is 5. 
Result so far: 7425.785
If we subtract 3175 from 3700, we get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

On to step 11:
635 can be fit into 5250 8 times, resulting in a remainder of 170.
Put 8 as the next digit of the answer. 
Result so far: 7425.7858
The remainder is 170 after subtracting 5080 from 5250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Step 12:
635 can be fit into 1700 2 times, resulting in a remainder of 430.
Use 2 as the next digit of our solution. 
Result so far: 7425.78582
Subtracting 1270 from 1700 leaves us with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Let's proceed to step 13:
4300 divided by 635 is 6 with a remainder of 490.
Put 6 as the next digit of the answer. 
Result so far: 7425.785826
If we subtract 3810 from 4300, we get 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 14:
If we divide 4900 by 635, we get 7 and a remainder of 455.
The number 7 becomes the next digit in our result. 
Result so far: 7425.7858267
The remainder is 455 after subtracting 4445 from 4900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Going ahead to step 15:
635 can be fit into 4550 7 times, resulting in a remainder of 105.
Record the quotient 7 as the next digit in the result. 
Result so far: 7425.78582677
Subtracting 4445 from 4550 leaves us with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

The final result is 7425.78582677 with a remainder of 1.05e-07.