We're dividing 946820 by 13 
We want to figure out the number of times 946820 can be divided by 13.

Moving on to step 1:
The number 13 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

On to step 2:
When dividing 94 by 13, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 91 away from 94, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 13

Let's proceed to step 3:
When dividing 36 by 13, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 72.0
If we take 26 away from 36, we end up with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 13

On to step 4:
13 goes into 108 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 728.0
Deduct 104 from 108 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

On to step 5:
The number 13 fits into 42 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 7283.0
The remainder is 3 after subtracting 39 from 42.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 13

Let's proceed to step 6:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 72832.0
If we take 26 away from 30, 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.

Let's proceed to step 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 72832.3
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 72832.3
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 72832.307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 72832.3076
The remainder is 12 after subtracting 78 from 90.
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 11:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 72832.30769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 72832.307692
If we subtract 26 from 30, 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.

On to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 72832.3076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 72832.3076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 72832.3076923 with a balance of 1e-08.