760154 ÷ 75 
Our goal is to divide 760154 by 75.

Let's proceed to step 1:
When dividing 7 by 75, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 75

Moving on to step 2:
75 can be fit into 76 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 75 from 76 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 75

Let's proceed to step 3:
75 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 75

Let's proceed to step 4:
75 can be fit into 101 1 times, resulting in a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we subtract 75 from 101, we get 26.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 75

Step 5:
The number 75 fits into 265 3 times, leaving a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 1013.0
If we subtract 225 from 265, we get 40.
Grab the next digit (4) from the dividend, add it to 40, then carry on: 404 / 75

Step 6:
If we divide 404 by 75, we get 5 and a remainder of 29.
The next digit of our result is 5. 
Result so far: 10135.0
Deduct 375 from 404 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
75 can be fit into 290 3 times, resulting in a remainder of 65.
Record the quotient 3 as the next digit in the result. 
Result so far: 10135.3
The remainder is 65 after subtracting 225 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 10135.38
If we take 600 away from 650, we end up 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 9:
75 goes into 500 6 times with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 10135.386
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.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 10135.3866
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.

In conclusion, the division gives 10135.3866 with a balance of 0.0005.