We're dividing 17578666 by 340 
Our goal is to divide 17578666 by 340.

Advancing to step 1:
The number 340 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 340

Let's proceed to step 2:
340 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (5) from the dividend, attach it to 17 and continue: 175 / 340

Step 3:
340 can be fit into 175 0 times, resulting in a remainder of 175.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 175 to get 175.
Grab the next digit (7) from the dividend, add it to 175, then carry on: 1757 / 340

Let's proceed to step 4:
If we divide 1757 by 340, we get 5 and a remainder of 57.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 1700 from 1757 leaves us with 57.
Include the next digit (8) from the dividend after 57, then repeat: 578 / 340

Let's proceed to step 5:
340 can be fit into 578 1 times, resulting in a remainder of 238.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 238 after subtracting 340 from 578.
Bring next digit (6) of the dividend behind the 238 and repeat the process: 2386 / 340

Step 6:
If we divide 2386 by 340, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 517.0
If we subtract 2380 from 2386, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 340

On to step 7:
If we divide 66 by 340, we get 0 and a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 5170.0
Subtract 0 from 66 to get 66.
Fetch the next digit (6) from the dividend, attach it to 66 and continue: 666 / 340

Let's proceed to step 8:
340 can be fit into 666 1 times, resulting in a remainder of 326.
Record the quotient 1 as the next digit in the result. 
Result so far: 51701.0
The remainder is 326 after subtracting 340 from 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Advancing to step 9:
340 goes into 3260 9 times with a remainder of 200.
Record the quotient 9 as the next digit in the result. 
Result so far: 51701.9
Subtract 3060 from 3260 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Moving on to step 10:
When dividing 2000 by 340, we get 5 with a remainder of 300.
Use 5 as the next digit of our solution. 
Result so far: 51701.95
Subtract 1700 from 2000 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

On to step 11:
When dividing 3000 by 340, we get 8 with a remainder of 280.
The number 8 becomes the next digit in our result. 
Result so far: 51701.958
Subtracting 2720 from 3000 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 12:
If we divide 2800 by 340, we get 8 and a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 51701.9588
Subtracting 2720 from 2800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 51701.9588 with a balance of 0.0008.