Let's divide 66606 by 13
Let's see how many times 13 fits into 66606.

Advancing to step 1:
6 divided by 13 is 0 with 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 (6) from the dividend, add it to 6, then carry on: 66 / 13

Moving on to step 2:
13 goes into 66 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 66 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Advancing to step 3:
If we divide 16 by 13, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 13 from 16 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 13

Going ahead to step 4:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 512.0
Subtracting 26 from 30 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Let's proceed to step 5:
The number 13 fits into 46 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 5123.0
If we subtract 39 from 46, we 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.

On to step 6:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5123.5
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.

On to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 5123.53
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 5123.538
If we take 104 away from 110, 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.

On to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 5123.5384
Subtracting 52 from 60 leaves us 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.

Advancing to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 5123.53846
If we take 78 away from 80, 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.

On to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 5123.538461
If we take 13 away from 20, we end up 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.

Advancing to step 12:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5123.5384615
Subtract 65 from 70 to 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.

Let's proceed to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 5123.53846153
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.

The final outcome is 5123.53846153, with a leftover of 1.1e-08.