742025 ÷ 75 
We want to divide 742025 by 75.

Let's proceed to step 1:
If we divide 7 by 75, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 75

On to step 2:
If we divide 74 by 75, we get 0 and a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 74 to get 74.
Grab the next digit (2) from the dividend, add it to 74, then carry on: 742 / 75

Moving on to step 3:
742 divided by 75 is 9 with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 675 from 742 and we're left with 67.
Append the next digit (0) from the dividend to 67 and continue with: 670 / 75

Advancing to step 4:
If we divide 670 by 75, we get 8 and a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Subtracting 600 from 670 leaves us with 70.
Append the next digit (2) from the dividend to 70 and continue with: 702 / 75

Moving on to step 5:
75 goes into 702 9 times with a remainder of 27.
The next digit of our result is 9. 
Result so far: 989.0
Deduct 675 from 702 and we're left with 27.
Append the next digit (5) from the dividend to 27 and continue with: 275 / 75

Going ahead to step 6:
75 can be fit into 275 3 times, resulting in a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 9893.0
Subtracting 225 from 275 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.

Advancing to step 7:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 9893.6
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.

Advancing to step 8:
500 divided by 75 is 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 9893.66
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 9893.66, and the remainder is 0.05.