We're dividing 65751741 by 678 
Our goal is to divide 65751741 by 678.

Step 1:
When dividing 6 by 678, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 678

Advancing to step 2:
678 goes into 65 0 times with a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Grab the next digit (7) from the dividend, add it to 65, then carry on: 657 / 678

Going ahead to step 3:
678 can be fit into 657 0 times, resulting in a remainder of 657.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 657 and we're left with 657.
Fetch the next digit (5) from the dividend, attach it to 657 and continue: 6575 / 678

Step 4:
678 can be fit into 6575 9 times, resulting in a remainder of 473.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 6102 away from 6575, we end up with 473.
Bring next digit (1) of the dividend behind the 473 and repeat the process: 4731 / 678

On to step 5:
If we divide 4731 by 678, we get 6 and a remainder of 663.
Write down 6 as next digit of the result. 
Result so far: 96.0
Subtract 4068 from 4731 to get 663.
Bring next digit (7) of the dividend behind the 663 and repeat the process: 6637 / 678

Let's proceed to step 6:
The number 678 fits into 6637 9 times, leaving a remainder of 535.
The number 9 becomes the next digit in our result. 
Result so far: 969.0
If we subtract 6102 from 6637, we get 535.
Fetch the next digit (4) from the dividend, attach it to 535 and continue: 5354 / 678

Moving on to step 7:
The number 678 fits into 5354 7 times, leaving a remainder of 608.
The next digit of our result is 7. 
Result so far: 9697.0
If we subtract 4746 from 5354, we get 608.
Fetch the next digit (1) from the dividend, attach it to 608 and continue: 6081 / 678

Step 8:
678 can be fit into 6081 8 times, resulting in a remainder of 657.
Put 8 as the next digit of the answer. 
Result so far: 96978.0
The remainder is 657 after subtracting 5424 from 6081.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6570, and continue the process.

On to step 9:
When dividing 6570 by 678, we get 9 with a remainder of 468.
Write down 9 as next digit of the result. 
Result so far: 96978.9
If we take 6102 away from 6570, we end up with 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Let's proceed to step 10:
4680 divided by 678 is 6 with a remainder of 612.
Put 6 as the next digit of the answer. 
Result so far: 96978.96
If we subtract 4068 from 4680, we get 612.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6120, and continue the process.

Advancing to step 11:
678 goes into 6120 9 times with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 96978.969
Deduct 6102 from 6120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
180 divided by 678 is 0 with a remainder of 180.
The next digit of our result is 0. 
Result so far: 96978.969
Subtracting 0 from 180 leaves us with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

On to step 13:
1800 divided by 678 is 2 with a remainder of 444.
Use 2 as the next digit of our solution. 
Result so far: 96978.96902
Subtract 1356 from 1800 to get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Advancing to step 14:
4440 divided by 678 is 6 with a remainder of 372.
The number 6 becomes the next digit in our result. 
Result so far: 96978.969026
If we take 4068 away from 4440, we end up with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Moving on to step 15:
The number 678 fits into 3720 5 times, leaving a remainder of 330.
The next digit of our result is 5. 
Result so far: 96978.9690265
If we take 3390 away from 3720, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Moving on to step 16:
The number 678 fits into 3300 4 times, leaving a remainder of 588.
Record the quotient 4 as the next digit in the result. 
Result so far: 96978.96902654
If we subtract 2712 from 3300, we get 588.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5880, and continue the process.

After the division, we end up with 96978.96902654 and a remainder of 5.88e-07.