309670 ÷ 14 
We want to figure out the number of times 309670 can be divided by 14.

On to step 1:
14 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 14

Going ahead to step 2:
When dividing 30 by 14, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 28 from 30 and we're left with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 14

Advancing to step 3:
The number 14 fits into 29 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Deduct 28 from 29 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 14

On to step 4:
14 goes into 16 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 221.0
Subtracting 14 from 16 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 14

Step 5:
27 divided by 14 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 2211.0
The remainder is 13 after subtracting 14 from 27.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 14

Going ahead to step 6:
130 divided by 14 is 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 22119.0
If we take 126 away from 130, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
14 goes into 40 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 22119.2
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 22119.28
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 22119.285
Deduct 70 from 80 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
14 can be fit into 100 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 22119.2857
If we take 98 away from 100, 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.

Going ahead to step 11:
If we divide 20 by 14, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 22119.28571
If we take 14 away from 20, 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.

Advancing to step 12:
14 goes into 60 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 22119.285714
Subtract 56 from 60 to 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.

Let's proceed to step 13:
If we divide 40 by 14, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 22119.2857142
Deduct 28 from 40 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
When dividing 120 by 14, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 22119.28571428
If we take 112 away from 120, 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.

After the division, we end up with 22119.28571428 and a remainder of 8e-09.