We look at the division of 6455557 by 638 
We want to divide 6455557 by 638.

Moving on to step 1:
The number 638 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 638

On to step 2:
638 can be fit into 64 0 times, resulting in a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 638

Moving on to step 3:
645 divided by 638 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 638 from 645 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 638

Moving on to step 4:
If we divide 75 by 638, we get 0 and a remainder of 75.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 75, we get 75.
Append the next digit (5) from the dividend to 75 and continue with: 755 / 638

Advancing to step 5:
755 divided by 638 is 1 with a remainder of 117.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Deduct 638 from 755 and we're left with 117.
Include the next digit (5) from the dividend after 117, then repeat: 1175 / 638

Going ahead to step 6:
638 can be fit into 1175 1 times, resulting in a remainder of 537.
Use 1 as the next digit of our solution. 
Result so far: 1011.0
If we take 638 away from 1175, we end up with 537.
Append the next digit (7) from the dividend to 537 and continue with: 5377 / 638

Step 7:
The number 638 fits into 5377 8 times, leaving a remainder of 273.
The number 8 becomes the next digit in our result. 
Result so far: 10118.0
Subtract 5104 from 5377 to get 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Let's proceed to step 8:
The number 638 fits into 2730 4 times, leaving a remainder of 178.
Record the quotient 4 as the next digit in the result. 
Result so far: 10118.4
The remainder is 178 after subtracting 2552 from 2730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Going ahead to step 9:
If we divide 1780 by 638, we get 2 and a remainder of 504.
Write down 2 as next digit of the result. 
Result so far: 10118.42
Subtract 1276 from 1780 to get 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Moving on to step 10:
When dividing 5040 by 638, we get 7 with a remainder of 574.
Use 7 as the next digit of our solution. 
Result so far: 10118.427
The remainder is 574 after subtracting 4466 from 5040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

Step 11:
If we divide 5740 by 638, we get 8 and a remainder of 636.
Use 8 as the next digit of our solution. 
Result so far: 10118.4278
If we subtract 5104 from 5740, we get 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Let's proceed to step 12:
6360 divided by 638 is 9 with a remainder of 618.
Write down 9 as next digit of the result. 
Result so far: 10118.42789
Deduct 5742 from 6360 and we're left with 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

On to step 13:
6180 divided by 638 is 9 with a remainder of 438.
Use 9 as the next digit of our solution. 
Result so far: 10118.427899
If we take 5742 away from 6180, we end up with 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

The quotient of the division is 10118.427899, and the remainder is 4.38e-05.