975629 divided by 38 
We want to figure out the number of times 975629 can be divided by 38.

Step 1:
9 divided by 38 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 38

Step 2:
The number 38 fits into 97 2 times, leaving a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 76 from 97 leaves us with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 38

On to step 3:
When dividing 215 by 38, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we subtract 190 from 215, we get 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 38

Going ahead to step 4:
When dividing 256 by 38, we get 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 256.0
If we take 228 away from 256, we end up with 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 38

Advancing to step 5:
38 can be fit into 282 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 2567.0
Subtract 266 from 282 to get 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 38

On to step 6:
38 goes into 169 4 times with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 25674.0
Subtract 152 from 169 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
38 goes into 170 4 times with a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 25674.4
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
The number 38 fits into 180 4 times, leaving a remainder of 28.
The next digit of our result is 4. 
Result so far: 25674.44
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 25674.44, and the remainder is 0.028.