13394597 ÷ 565 
Our goal is to divide 13394597 by 565.

Let's proceed to step 1:
The number 565 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 565

Moving on to step 2:
13 divided by 565 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 565

Step 3:
If we divide 133 by 565, we get 0 and a remainder of 133.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 133 to get 133.
Append the next digit (9) from the dividend to 133 and continue with: 1339 / 565

Let's proceed to step 4:
1339 divided by 565 is 2 with a remainder of 209.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 209 after subtracting 1130 from 1339.
Grab the next digit (4) from the dividend, add it to 209, then carry on: 2094 / 565

Step 5:
565 goes into 2094 3 times with a remainder of 399.
The next digit of our result is 3. 
Result so far: 23.0
Deduct 1695 from 2094 and we're left with 399.
Bring next digit (5) of the dividend behind the 399 and repeat the process: 3995 / 565

On to step 6:
3995 divided by 565 is 7 with a remainder of 40.
Record the quotient 7 as the next digit in the result. 
Result so far: 237.0
The remainder is 40 after subtracting 3955 from 3995.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 565

Moving on to step 7:
If we divide 409 by 565, we get 0 and a remainder of 409.
Record the quotient 0 as the next digit in the result. 
Result so far: 2370.0
Subtract 0 from 409 to get 409.
Include the next digit (7) from the dividend after 409, then repeat: 4097 / 565

Going ahead to step 8:
When dividing 4097 by 565, we get 7 with a remainder of 142.
The next digit of our result is 7. 
Result so far: 23707.0
Subtracting 3955 from 4097 leaves us with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Advancing to step 9:
565 can be fit into 1420 2 times, resulting in a remainder of 290.
Use 2 as the next digit of our solution. 
Result so far: 23707.2
The remainder is 290 after subtracting 1130 from 1420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Moving on to step 10:
If we divide 2900 by 565, we get 5 and a remainder of 75.
The next digit of our result is 5. 
Result so far: 23707.25
Deduct 2825 from 2900 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 11:
When dividing 750 by 565, we get 1 with a remainder of 185.
Put 1 as the next digit of the answer. 
Result so far: 23707.251
If we subtract 565 from 750, we get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Step 12:
565 can be fit into 1850 3 times, resulting in a remainder of 155.
Put 3 as the next digit of the answer. 
Result so far: 23707.2513
Subtracting 1695 from 1850 leaves us with 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Going ahead to step 13:
565 can be fit into 1550 2 times, resulting in a remainder of 420.
Record the quotient 2 as the next digit in the result. 
Result so far: 23707.25132
Deduct 1130 from 1550 and we're left with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Let's proceed to step 14:
565 goes into 4200 7 times with a remainder of 245.
Put 7 as the next digit of the answer. 
Result so far: 23707.251327
If we take 3955 away from 4200, we end up with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Let's proceed to step 15:
565 goes into 2450 4 times with a remainder of 190.
Put 4 as the next digit of the answer. 
Result so far: 23707.2513274
Subtract 2260 from 2450 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 16:
565 can be fit into 1900 3 times, resulting in a remainder of 205.
The number 3 becomes the next digit in our result. 
Result so far: 23707.25132743
Subtracting 1695 from 1900 leaves us with 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

The final outcome is 23707.25132743, with a leftover of 2.05e-07.