We're dividing 66970 by 13 
We want to divide 66970 by 13.

Going ahead to step 1:
13 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Step 2:
If we divide 66 by 13, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 66, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Going ahead to step 3:
The number 13 fits into 19 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtracting 13 from 19 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Moving on to step 4:
If we divide 67 by 13, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 515.0
If we take 65 away from 67, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 13

Step 5:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 5151.0
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5151.5
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 5151.53
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 5151.538
Subtract 104 from 110 to get 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:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 5151.5384
If we subtract 52 from 60, 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.

Advancing to step 10:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 5151.53846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 5151.538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5151.5384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 5151.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 5151.53846153, with a leftover of 1.1e-08.