740963 ÷ 75 
We're looking to find how many times 75 goes into 740963.

Going ahead to step 1:
If we divide 7 by 75, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 75

Step 2:
If we divide 74 by 75, we get 0 and a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Fetch the next digit (0) from the dividend, attach it to 74 and continue: 740 / 75

Let's proceed to step 3:
If we divide 740 by 75, we get 9 and a remainder of 65.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 675 from 740 to get 65.
Take the next digit (9) from the dividend and append it to 65, then repeat: 659 / 75

Advancing to step 4:
659 divided by 75 is 8 with a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
If we subtract 600 from 659, we get 59.
Fetch the next digit (6) from the dividend, attach it to 59 and continue: 596 / 75

Moving on to step 5:
75 can be fit into 596 7 times, resulting in a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 987.0
The remainder is 71 after subtracting 525 from 596.
Take the next digit (3) from the dividend and append it to 71, then repeat: 713 / 75

Going ahead to step 6:
75 can be fit into 713 9 times, resulting in a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 9879.0
Deduct 675 from 713 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
When dividing 380 by 75, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 9879.5
The remainder is 5 after subtracting 375 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
75 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 9879.5
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 9879.506
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 9879.5066
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 9879.5066, with a leftover of 0.0005.