78574 ÷ 75 
Our goal is to divide 78574 by 75.

Moving on to step 1:
75 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 75

On to step 2:
78 divided by 75 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 75 from 78 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 75

Advancing to step 3:
The number 75 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 35 and we're left with 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 75

Advancing to step 4:
If we divide 357 by 75, we get 4 and a remainder of 57.
Write down 4 as next digit of the result. 
Result so far: 104.0
The remainder is 57 after subtracting 300 from 357.
Grab the next digit (4) from the dividend, add it to 57, then carry on: 574 / 75

Advancing to step 5:
The number 75 fits into 574 7 times, leaving a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 1047.0
If we take 525 away from 574, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 6:
75 can be fit into 490 6 times, resulting in a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 1047.6
Deduct 450 from 490 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1047.65
If we subtract 375 from 400, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 1047.653
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1047.6533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 1047.6533 with a balance of 0.00025.