We look at the division of 7428308 by 635 
Let's see how many times 635 fits into 7428308.

On to step 1:
If we divide 7 by 635, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 635

Let's proceed to step 2:
635 goes into 74 0 times with a remainder of 74.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 74 to get 74.
Fetch the next digit (2) from the dividend, attach it to 74 and continue: 742 / 635

On to step 3:
The number 635 fits into 742 1 times, leaving a remainder of 107.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 635 away from 742, we end up with 107.
Bring next digit (8) of the dividend behind the 107 and repeat the process: 1078 / 635

On to step 4:
635 can be fit into 1078 1 times, resulting in a remainder of 443.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 443 after subtracting 635 from 1078.
Append the next digit (3) from the dividend to 443 and continue with: 4433 / 635

On to step 5:
When dividing 4433 by 635, we get 6 with a remainder of 623.
Write down 6 as next digit of the result. 
Result so far: 116.0
The remainder is 623 after subtracting 3810 from 4433.
Fetch the next digit (0) from the dividend, attach it to 623 and continue: 6230 / 635

Step 6:
6230 divided by 635 is 9 with a remainder of 515.
Record the quotient 9 as the next digit in the result. 
Result so far: 1169.0
If we take 5715 away from 6230, we end up with 515.
Include the next digit (8) from the dividend after 515, then repeat: 5158 / 635

Step 7:
635 goes into 5158 8 times with a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 11698.0
Deduct 5080 from 5158 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 8:
635 goes into 780 1 times with a remainder of 145.
Write down 1 as next digit of the result. 
Result so far: 11698.1
The remainder is 145 after subtracting 635 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 9:
635 goes into 1450 2 times with a remainder of 180.
Put 2 as the next digit of the answer. 
Result so far: 11698.12
The remainder is 180 after subtracting 1270 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

On to step 10:
635 goes into 1800 2 times with a remainder of 530.
Record the quotient 2 as the next digit in the result. 
Result so far: 11698.122
If we subtract 1270 from 1800, we get 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

In conclusion, the division gives 11698.122 with a balance of 0.053.