We look at the division of 7726438 by 628 
Our goal is to divide 7726438 by 628.

Advancing to step 1:
628 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 628

Moving on to step 2:
628 can be fit into 77 0 times, resulting in a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Grab the next digit (2) from the dividend, add it to 77, then carry on: 772 / 628

Going ahead to step 3:
628 can be fit into 772 1 times, resulting in a remainder of 144.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 628 from 772, we get 144.
Include the next digit (6) from the dividend after 144, then repeat: 1446 / 628

On to step 4:
When dividing 1446 by 628, we get 2 with a remainder of 190.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 190 after subtracting 1256 from 1446.
Bring next digit (4) of the dividend behind the 190 and repeat the process: 1904 / 628

Advancing to step 5:
628 can be fit into 1904 3 times, resulting in a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 123.0
Subtract 1884 from 1904 to get 20.
Include the next digit (3) from the dividend after 20, then repeat: 203 / 628

Advancing to step 6:
When dividing 203 by 628, we get 0 with a remainder of 203.
The number 0 becomes the next digit in our result. 
Result so far: 1230.0
If we subtract 0 from 203, we get 203.
Append the next digit (8) from the dividend to 203 and continue with: 2038 / 628

On to step 7:
When dividing 2038 by 628, we get 3 with a remainder of 154.
Use 3 as the next digit of our solution. 
Result so far: 12303.0
The remainder is 154 after subtracting 1884 from 2038.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

On to step 8:
628 goes into 1540 2 times with a remainder of 284.
Write down 2 as next digit of the result. 
Result so far: 12303.2
Subtracting 1256 from 1540 leaves us with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Advancing to step 9:
The number 628 fits into 2840 4 times, leaving a remainder of 328.
Record the quotient 4 as the next digit in the result. 
Result so far: 12303.24
If we take 2512 away from 2840, we end up with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Moving on to step 10:
3280 divided by 628 is 5 with a remainder of 140.
Use 5 as the next digit of our solution. 
Result so far: 12303.245
Deduct 3140 from 3280 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 11:
628 goes into 1400 2 times with a remainder of 144.
The number 2 becomes the next digit in our result. 
Result so far: 12303.2452
Deduct 1256 from 1400 and we're left with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Moving on to step 12:
628 can be fit into 1440 2 times, resulting in a remainder of 184.
The next digit of our result is 2. 
Result so far: 12303.24522
Subtract 1256 from 1440 to get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

The final result is 12303.24522 with a remainder of 0.000184.