Let's divide 97740 by 42
We want to figure out the number of times 97740 can be divided by 42.

On to step 1:
The number 42 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
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 / 42

On to step 2:
When dividing 97 by 42, we get 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 84 away from 97, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 42

On to step 3:
The number 42 fits into 137 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 126 from 137 and we're left with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 42

Let's proceed to step 4:
When dividing 114 by 42, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 232.0
If we take 84 away from 114, we end up with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 42

Step 5:
42 goes into 300 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 2327.0
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.

Step 6:
When dividing 60 by 42, we get 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 2327.1
The remainder is 18 after subtracting 42 from 60.
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 7:
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: 2327.14
If we take 168 away from 180, we end up 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.

Step 8:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 2327.142
If we subtract 84 from 120, we 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.

Going ahead to step 9:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 2327.1428
Subtract 336 from 360 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.

Let's proceed to step 10:
240 divided by 42 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 2327.14285
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.

Step 11:
42 goes into 300 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 2327.142857
If we take 294 away from 300, we end up with 6.
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 12:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 2327.1428571
Subtracting 42 from 60 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.

Advancing to step 13:
180 divided by 42 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 2327.14285714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 2327.14285714 with a remainder of 1.2e-08.