We look at the division of 637629 by 93 
We want to divide 637629 by 93.

Advancing to step 1:
6 divided by 93 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 93

Step 2:
93 can be fit into 63 0 times, resulting in a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (7) of the dividend behind the 63 and repeat the process: 637 / 93

Step 3:
The number 93 fits into 637 6 times, leaving a remainder of 79.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 558 from 637 to get 79.
Append the next digit (6) from the dividend to 79 and continue with: 796 / 93

Step 4:
796 divided by 93 is 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 744 from 796, we get 52.
Take the next digit (2) from the dividend and append it to 52, then repeat: 522 / 93

On to step 5:
93 goes into 522 5 times with a remainder of 57.
Record the quotient 5 as the next digit in the result. 
Result so far: 685.0
If we subtract 465 from 522, we get 57.
Include the next digit (9) from the dividend after 57, then repeat: 579 / 93

On to step 6:
579 divided by 93 is 6 with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 6856.0
Subtract 558 from 579 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
If we divide 210 by 93, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 6856.2
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
When dividing 240 by 93, we get 2 with a remainder of 54.
The next digit of our result is 2. 
Result so far: 6856.22
Subtracting 186 from 240 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 6856.22, with a leftover of 0.054.