We look at the division of 637908 by 93 
Our goal is to divide 637908 by 93.

On to step 1:
6 divided by 93 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
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

Going ahead to step 2:
The number 93 fits into 63 0 times, leaving a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 93

Moving on to step 3:
The number 93 fits into 637 6 times, leaving a remainder of 79.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 558 from 637, we get 79.
Grab the next digit (9) from the dividend, add it to 79, then carry on: 799 / 93

Let's proceed to step 4:
799 divided by 93 is 8 with a remainder of 55.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtract 744 from 799 to get 55.
Include the next digit (0) from the dividend after 55, then repeat: 550 / 93

Let's proceed to step 5:
93 goes into 550 5 times with a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 685.0
If we take 465 away from 550, we end up with 85.
Fetch the next digit (8) from the dividend, attach it to 85 and continue: 858 / 93

Step 6:
If we divide 858 by 93, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 6859.0
Deduct 837 from 858 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 93, we get 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 6859.2
Subtract 186 from 210 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
When dividing 240 by 93, we get 2 with a remainder of 54.
Put 2 as the next digit of the answer. 
Result so far: 6859.22
Subtract 186 from 240 to get 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 quotient of the division is 6859.22, and the remainder is 0.054.