We're dividing 14621678 by 565 
Our goal is to divide 14621678 by 565.

Let's proceed to step 1:
If we divide 1 by 565, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 565

Advancing to step 2:
If we divide 14 by 565, we get 0 and a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 565

Going ahead to step 3:
When dividing 146 by 565, we get 0 with a remainder of 146.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 146 to get 146.
Grab the next digit (2) from the dividend, add it to 146, then carry on: 1462 / 565

Let's proceed to step 4:
565 goes into 1462 2 times with a remainder of 332.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 1130 from 1462, we get 332.
Include the next digit (1) from the dividend after 332, then repeat: 3321 / 565

Step 5:
565 goes into 3321 5 times with a remainder of 496.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
The remainder is 496 after subtracting 2825 from 3321.
Take the next digit (6) from the dividend and append it to 496, then repeat: 4966 / 565

Let's proceed to step 6:
When dividing 4966 by 565, we get 8 with a remainder of 446.
Record the quotient 8 as the next digit in the result. 
Result so far: 258.0
Deduct 4520 from 4966 and we're left with 446.
Take the next digit (7) from the dividend and append it to 446, then repeat: 4467 / 565

Moving on to step 7:
When dividing 4467 by 565, we get 7 with a remainder of 512.
Put 7 as the next digit of the answer. 
Result so far: 2587.0
If we take 3955 away from 4467, we end up with 512.
Include the next digit (8) from the dividend after 512, then repeat: 5128 / 565

Advancing to step 8:
If we divide 5128 by 565, we get 9 and a remainder of 43.
The next digit of our result is 9. 
Result so far: 25879.0
If we subtract 5085 from 5128, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 9:
When dividing 430 by 565, we get 0 with a remainder of 430.
The number 0 becomes the next digit in our result. 
Result so far: 25879.0
Subtract 0 from 430 to get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

On to step 10:
4300 divided by 565 is 7 with a remainder of 345.
The next digit of our result is 7. 
Result so far: 25879.07
Subtracting 3955 from 4300 leaves us with 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Step 11:
The number 565 fits into 3450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 25879.076
If we subtract 3390 from 3450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 12:
When dividing 600 by 565, we get 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 25879.0761
If we take 565 away from 600, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
The number 565 fits into 350 0 times, leaving a remainder of 350.
Use 0 as the next digit of our solution. 
Result so far: 25879.0761
Subtracting 0 from 350 leaves us with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

On to step 14:
565 can be fit into 3500 6 times, resulting in a remainder of 110.
Record the quotient 6 as the next digit in the result. 
Result so far: 25879.076106
Deduct 3390 from 3500 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 15:
When dividing 1100 by 565, we get 1 with a remainder of 535.
Use 1 as the next digit of our solution. 
Result so far: 25879.0761061
If we take 565 away from 1100, we end up with 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Step 16:
565 can be fit into 5350 9 times, resulting in a remainder of 265.
Write down 9 as next digit of the result. 
Result so far: 25879.07610619
If we take 5085 away from 5350, we end up with 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

In conclusion, the division gives 25879.07610619 with a balance of 2.65e-07.