637675 divided by 75 
We want to figure out the number of times 637675 can be divided by 75.

Step 1:
75 goes into 6 0 times with 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.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 75

Let's proceed to step 2:
The number 75 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.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 75

Moving on to step 3:
75 can be fit into 637 8 times, resulting in a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 37 after subtracting 600 from 637.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 75

Let's proceed to step 4:
75 goes into 376 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 375 from 376 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 75

Moving on to step 5:
The number 75 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 850.0
The remainder is 17 after subtracting 0 from 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 75

Going ahead to step 6:
75 can be fit into 175 2 times, resulting in a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 8502.0
If we subtract 150 from 175, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The next digit of our result is 3. 
Result so far: 8502.3
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 8502.33
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 8502.33, and the remainder is 0.025.