Let's divide 310966 by 34
We want to figure out the number of times 310966 can be divided by 34.

Advancing to step 1:
The number 34 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 34

Going ahead to step 2:
34 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 34

Advancing to step 3:
If we divide 310 by 34, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtracting 306 from 310 leaves us with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 34

Moving on to step 4:
34 goes into 49 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 91.0
Subtracting 34 from 49 leaves us with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 34

Step 5:
When dividing 156 by 34, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 914.0
Deduct 136 from 156 and we're left with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 34

Advancing to step 6:
34 can be fit into 206 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 9146.0
If we take 204 away from 206, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 9146.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 9146.05
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 9146.058
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
280 divided by 34 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 9146.0588
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 9146.0588 with a remainder of 8e-05.