946053 ÷ 13 
We're looking to find how many times 13 goes into 946053.

Advancing to step 1:
13 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

On to step 2:
13 goes into 94 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the 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

Going ahead to step 3:
13 can be fit into 36 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtract 26 from 36 to get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

Going ahead to step 4:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 727.0
Subtract 91 from 100 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 13

Moving on to step 5:
When dividing 95 by 13, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7277.0
Subtract 91 from 95 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Step 6:
13 goes into 43 3 times with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 72773.0
If we take 39 away from 43, 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.

Step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 72773.3
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 72773.3
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 72773.307
Subtract 91 from 100 to 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:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 72773.3076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 72773.30769
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.

Advancing to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 72773.307692
The remainder is 4 after subtracting 26 from 30.
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:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 72773.3076923
If we take 39 away from 40, we end up 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.

Going ahead to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 72773.3076923
Subtracting 0 from 10 leaves us 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.

In conclusion, the division gives 72773.3076923 with a balance of 1e-08.