37975837 ÷ 675 
We want to figure out the number of times 37975837 can be divided by 675.

Advancing to step 1:
When dividing 3 by 675, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 675

Going ahead to step 2:
The number 675 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 675

Going ahead to step 3:
675 can be fit into 379 0 times, resulting in a remainder of 379.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 379, we end up with 379.
Append the next digit (7) from the dividend to 379 and continue with: 3797 / 675

Advancing to step 4:
3797 divided by 675 is 5 with a remainder of 422.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 422 after subtracting 3375 from 3797.
Append the next digit (5) from the dividend to 422 and continue with: 4225 / 675

Let's proceed to step 5:
675 can be fit into 4225 6 times, resulting in a remainder of 175.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtracting 4050 from 4225 leaves us with 175.
Include the next digit (8) from the dividend after 175, then repeat: 1758 / 675

Moving on to step 6:
675 can be fit into 1758 2 times, resulting in a remainder of 408.
The next digit of our result is 2. 
Result so far: 562.0
Subtracting 1350 from 1758 leaves us with 408.
Append the next digit (3) from the dividend to 408 and continue with: 4083 / 675

Let's proceed to step 7:
4083 divided by 675 is 6 with a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 5626.0
If we subtract 4050 from 4083, we get 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 675

Going ahead to step 8:
675 can be fit into 337 0 times, resulting in a remainder of 337.
Use 0 as the next digit of our solution. 
Result so far: 56260.0
Deduct 0 from 337 and we're left with 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Step 9:
The number 675 fits into 3370 4 times, leaving a remainder of 670.
Record the quotient 4 as the next digit in the result. 
Result so far: 56260.4
If we subtract 2700 from 3370, we get 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Let's proceed to step 10:
675 goes into 6700 9 times with a remainder of 625.
Write down 9 as next digit of the result. 
Result so far: 56260.49
If we subtract 6075 from 6700, we get 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

On to step 11:
675 can be fit into 6250 9 times, resulting in a remainder of 175.
Put 9 as the next digit of the answer. 
Result so far: 56260.499
Deduct 6075 from 6250 and we're left with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Our division results in 56260.499 with a remaining 0.0175.