We look at the division of 975900 by 42 
We want to figure out the number of times 975900 can be divided by 42.

Step 1:
42 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 42

Moving on to step 2:
42 can be fit into 97 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 84 from 97 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 42

Advancing to step 3:
If we divide 135 by 42, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 23.0
The remainder is 9 after subtracting 126 from 135.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 42

On to step 4:
42 can be fit into 99 2 times, resulting in a remainder of 15.
The next digit of our result is 2. 
Result so far: 232.0
If we take 84 away from 99, we end up with 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 42

On to step 5:
42 goes into 150 3 times with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 2323.0
If we subtract 126 from 150, we get 24.
Include the next digit (0) from the dividend after 24, then repeat: 240 / 42

Going ahead to step 6:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 23235.0
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 23235.7
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
If we divide 60 by 42, we get 1 and a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 23235.71
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 23235.714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
If we divide 120 by 42, we get 2 and a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 23235.7142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 23235.71428
Deduct 336 from 360 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.

On to step 12:
The number 42 fits into 240 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 23235.714285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
If we divide 300 by 42, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 23235.7142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
When dividing 60 by 42, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 23235.71428571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 23235.71428571, and the remainder is 1.8e-08.