742359 ÷ 97 
Let's see how many times 97 fits into 742359.

Step 1:
97 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 97

On to step 2:
97 can be fit into 74 0 times, resulting in a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Bring next digit (2) of the dividend behind the 74 and repeat the process: 742 / 97

Moving on to step 3:
97 goes into 742 7 times with a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 679 from 742 and we're left with 63.
Bring next digit (3) of the dividend behind the 63 and repeat the process: 633 / 97

Advancing to step 4:
When dividing 633 by 97, we get 6 with a remainder of 51.
The next digit of our result is 6. 
Result so far: 76.0
The remainder is 51 after subtracting 582 from 633.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 97

Let's proceed to step 5:
515 divided by 97 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 765.0
The remainder is 30 after subtracting 485 from 515.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 97

Let's proceed to step 6:
If we divide 309 by 97, we get 3 and a remainder of 18.
The next digit of our result is 3. 
Result so far: 7653.0
The remainder is 18 after subtracting 291 from 309.
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 7:
97 can be fit into 180 1 times, resulting in a remainder of 83.
The next digit of our result is 1. 
Result so far: 7653.1
If we subtract 97 from 180, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 8:
If we divide 830 by 97, we get 8 and a remainder of 54.
The next digit of our result is 8. 
Result so far: 7653.18
Subtracting 776 from 830 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 9:
97 can be fit into 540 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 7653.185
Deduct 485 from 540 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 10:
When dividing 550 by 97, we get 5 with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 7653.1855
Subtract 485 from 550 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 7653.1855 with a remainder of 0.00065.