We look at the division of 456769 by 13 
Let's see how many times 13 fits into 456769.

Let's proceed to step 1:
13 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Going ahead to step 2:
The number 13 fits into 45 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 6 after subtracting 39 from 45.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

Let's proceed to step 3:
13 can be fit into 66 5 times, resulting in a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Subtracting 65 from 66 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 13

Step 4:
When dividing 17 by 13, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 351.0
Deduct 13 from 17 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Advancing to step 5:
13 goes into 46 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3513.0
If we take 39 away from 46, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 13

Advancing to step 6:
79 divided by 13 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 35136.0
If we take 78 away from 79, 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 7:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 35136.0
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.

Advancing to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 35136.07
Deduct 91 from 100 and we're left 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.

Going ahead to step 9:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 35136.076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 35136.0769
If we take 117 away from 120, we end up 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.

Step 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 35136.07692
Subtract 26 from 30 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.

Advancing to step 12:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 35136.076923
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 13:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35136.076923
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.

Moving on to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 35136.07692307
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.

In conclusion, the division gives 35136.07692307 with a balance of 9e-09.