686066 ÷ 34 
We're looking to find how many times 34 goes into 686066.

Going ahead to step 1:
The number 34 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 34

Going ahead to step 2:
If we divide 68 by 34, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 68 away from 68, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 34

On to step 3:
If we divide 6 by 34, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtract 0 from 6 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 34

Moving on to step 4:
34 goes into 60 1 times with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 201.0
If we take 34 away from 60, we end up with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 34

Let's proceed to step 5:
The number 34 fits into 266 7 times, leaving a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 2017.0
If we take 238 away from 266, we end up with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 34

Advancing to step 6:
If we divide 286 by 34, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 20178.0
If we subtract 272 from 286, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
When dividing 140 by 34, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 20178.4
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 8:
When dividing 40 by 34, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 20178.41
Deduct 34 from 40 and we're left 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.

Moving on to step 9:
60 divided by 34 is 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 20178.411
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 20178.411, and the remainder is 0.0026.