We look at the division of 457786 by 13 
We want to figure out the number of times 457786 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

Let's proceed to step 2:
The number 13 fits into 45 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 39 away from 45, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Step 3:
The number 13 fits into 67 5 times, leaving a remainder of 2.
The next digit of our result is 5. 
Result so far: 35.0
Subtracting 65 from 67 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 13

On to step 4:
When dividing 27 by 13, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 352.0
Subtract 26 from 27 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 13

Let's proceed to step 5:
13 can be fit into 18 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 3521.0
Subtract 13 from 18 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Step 6:
13 goes into 56 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 35214.0
Subtract 52 from 56 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.

Going ahead to step 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 35214.3
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.

Moving on to step 8:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 35214.3
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:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 35214.307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 35214.3076
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.

On to step 11:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 35214.30769
The remainder is 3 after subtracting 117 from 120.
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:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 35214.307692
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 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 35214.3076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 35214.3076923
If we take 0 away from 10, we end up 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.

The final outcome is 35214.3076923, with a leftover of 1e-08.