665917 ÷ 34 
Our goal is to divide 665917 by 34.

Going ahead to step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 34

Moving on to step 2:
34 goes into 66 1 times with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 34 from 66 to get 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 34

On to step 3:
34 goes into 325 9 times with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 306 from 325 to get 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 34

Moving on to step 4:
34 can be fit into 199 5 times, resulting in a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 195.0
Subtracting 170 from 199 leaves us with 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 34

Advancing to step 5:
The number 34 fits into 291 8 times, leaving a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 1958.0
If we subtract 272 from 291, we get 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 34

On to step 6:
34 can be fit into 197 5 times, resulting in a remainder of 27.
The next digit of our result is 5. 
Result so far: 19585.0
Deduct 170 from 197 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
34 goes into 270 7 times with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 19585.7
Subtracting 238 from 270 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
When dividing 320 by 34, we get 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 19585.79
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
34 goes into 140 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 19585.794
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 34, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 19585.7941
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
If we divide 60 by 34, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 19585.79411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 19585.79411 with a remaining 2.6e-05.