761753 ÷ 78 
Our goal is to divide 761753 by 78.

Advancing to step 1:
If we divide 7 by 78, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 78

Step 2:
78 goes into 76 0 times with a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 76 to get 76.
Include the next digit (1) from the dividend after 76, then repeat: 761 / 78

On to step 3:
761 divided by 78 is 9 with a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 702 from 761 leaves us with 59.
Grab the next digit (7) from the dividend, add it to 59, then carry on: 597 / 78

On to step 4:
If we divide 597 by 78, we get 7 and a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 97.0
If we subtract 546 from 597, we get 51.
Fetch the next digit (5) from the dividend, attach it to 51 and continue: 515 / 78

On to step 5:
78 goes into 515 6 times with a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 976.0
If we subtract 468 from 515, we get 47.
Take the next digit (3) from the dividend and append it to 47, then repeat: 473 / 78

Advancing to step 6:
The number 78 fits into 473 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 9766.0
Deduct 468 from 473 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 78 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 9766.0
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 8:
If we divide 500 by 78, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 9766.06
The remainder is 32 after subtracting 468 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
320 divided by 78 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 9766.064
Subtract 312 from 320 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
78 goes into 80 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 9766.0641
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
20 divided by 78 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 9766.0641
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
78 can be fit into 200 2 times, resulting in a remainder of 44.
The next digit of our result is 2. 
Result so far: 9766.064102
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
440 divided by 78 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 9766.0641025
The remainder is 50 after subtracting 390 from 440.
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 14:
500 divided by 78 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 9766.06410256
The remainder is 32 after subtracting 468 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 9766.06410256 with a remainder of 3.2e-08.