We're dividing 54345674 by 641 
We want to divide 54345674 by 641.

On to step 1:
If we divide 5 by 641, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 641

Moving on to step 2:
If we divide 54 by 641, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Append the next digit (3) from the dividend to 54 and continue with: 543 / 641

On to step 3:
When dividing 543 by 641, we get 0 with a remainder of 543.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 543 and we're left with 543.
Take the next digit (4) from the dividend and append it to 543, then repeat: 5434 / 641

On to step 4:
If we divide 5434 by 641, we get 8 and a remainder of 306.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 5128 from 5434 leaves us with 306.
Append the next digit (5) from the dividend to 306 and continue with: 3065 / 641

Going ahead to step 5:
641 goes into 3065 4 times with a remainder of 501.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Subtract 2564 from 3065 to get 501.
Fetch the next digit (6) from the dividend, attach it to 501 and continue: 5016 / 641

Going ahead to step 6:
641 goes into 5016 7 times with a remainder of 529.
Use 7 as the next digit of our solution. 
Result so far: 847.0
Deduct 4487 from 5016 and we're left with 529.
Fetch the next digit (7) from the dividend, attach it to 529 and continue: 5297 / 641

On to step 7:
5297 divided by 641 is 8 with a remainder of 169.
Write down 8 as next digit of the result. 
Result so far: 8478.0
The remainder is 169 after subtracting 5128 from 5297.
Fetch the next digit (4) from the dividend, attach it to 169 and continue: 1694 / 641

On to step 8:
The number 641 fits into 1694 2 times, leaving a remainder of 412.
The number 2 becomes the next digit in our result. 
Result so far: 84782.0
The remainder is 412 after subtracting 1282 from 1694.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Let's proceed to step 9:
The number 641 fits into 4120 6 times, leaving a remainder of 274.
The number 6 becomes the next digit in our result. 
Result so far: 84782.6
The remainder is 274 after subtracting 3846 from 4120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Advancing to step 10:
641 can be fit into 2740 4 times, resulting in a remainder of 176.
Record the quotient 4 as the next digit in the result. 
Result so far: 84782.64
If we take 2564 away from 2740, we end up with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

On to step 11:
1760 divided by 641 is 2 with a remainder of 478.
The number 2 becomes the next digit in our result. 
Result so far: 84782.642
The remainder is 478 after subtracting 1282 from 1760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Step 12:
The number 641 fits into 4780 7 times, leaving a remainder of 293.
Record the quotient 7 as the next digit in the result. 
Result so far: 84782.6427
Deduct 4487 from 4780 and we're left with 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

On to step 13:
The number 641 fits into 2930 4 times, leaving a remainder of 366.
Write down 4 as next digit of the result. 
Result so far: 84782.64274
Subtract 2564 from 2930 to get 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Going ahead to step 14:
When dividing 3660 by 641, we get 5 with a remainder of 455.
Put 5 as the next digit of the answer. 
Result so far: 84782.642745
Subtract 3205 from 3660 to get 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Moving on to step 15:
If we divide 4550 by 641, we get 7 and a remainder of 63.
The next digit of our result is 7. 
Result so far: 84782.6427457
If we subtract 4487 from 4550, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 16:
641 can be fit into 630 0 times, resulting in a remainder of 630.
The number 0 becomes the next digit in our result. 
Result so far: 84782.6427457
If we take 0 away from 630, we end up with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

After the division, we end up with 84782.6427457 and a remainder of 6.3e-07.