743687 ÷ 78 
Our goal is to divide 743687 by 78.

On to step 1:
When dividing 7 by 78, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 78

Let's proceed to step 2:
The number 78 fits into 74 0 times, leaving a remainder of 74.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Fetch the next digit (3) from the dividend, attach it to 74 and continue: 743 / 78

Moving on to step 3:
743 divided by 78 is 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 41 after subtracting 702 from 743.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 78

Step 4:
416 divided by 78 is 5 with a remainder of 26.
The next digit of our result is 5. 
Result so far: 95.0
Subtract 390 from 416 to get 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 78

Moving on to step 5:
If we divide 268 by 78, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 953.0
Subtract 234 from 268 to get 34.
Bring next digit (7) of the dividend behind the 34 and repeat the process: 347 / 78

Step 6:
If we divide 347 by 78, we get 4 and a remainder of 35.
The next digit of our result is 4. 
Result so far: 9534.0
The remainder is 35 after subtracting 312 from 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
When dividing 350 by 78, we get 4 with a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 9534.4
Subtracting 312 from 350 leaves us 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.

Going ahead to step 8:
When dividing 380 by 78, we get 4 with a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 9534.44
The remainder is 68 after subtracting 312 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 9534.44 with a remaining 0.068.