458634 divided by 13 
We want to figure out the number of times 458634 can be divided by 13.

Going ahead to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Step 2:
13 goes into 45 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 39 from 45 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Moving on to step 3:
If we divide 68 by 13, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we take 65 away from 68, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Advancing to step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 352.0
If we subtract 26 from 36, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

On to step 5:
13 goes into 103 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 3527.0
Subtracting 91 from 103 leaves us with 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 13

Going ahead to step 6:
When dividing 124 by 13, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 35279.0
Deduct 117 from 124 and we're left 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 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 35279.5
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.

Moving on to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 35279.53
Subtracting 39 from 50 leaves us 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.

Step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 35279.538
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 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 35279.5384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 35279.53846
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 12:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35279.538461
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.

On to step 13:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35279.5384615
The remainder is 5 after subtracting 65 from 70.
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 14:
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: 35279.53846153
Subtracting 39 from 50 leaves us 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 quotient of the division is 35279.53846153, and the remainder is 1.1e-08.