419816 divided by 13 
We want to figure out the number of times 419816 can be divided by 13.

Let's proceed to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 13

Going ahead to step 2:
If we divide 41 by 13, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 39 away from 41, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 13

Advancing to step 3:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Subtracting 26 from 29 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 13

Moving on to step 4:
13 goes into 38 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 322.0
Deduct 26 from 38 and we're left with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 13

Moving on to step 5:
13 goes into 121 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 3229.0
The remainder is 4 after subtracting 117 from 121.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

Advancing to step 6:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 32293.0
Deduct 39 from 46 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.

Let's proceed to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 32293.5
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 32293.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 32293.538
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.

Moving on to step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 32293.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 32293.53846
Subtract 78 from 80 to get 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 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 32293.538461
If we subtract 13 from 20, we get 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:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 32293.5384615
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.

Going ahead to step 14:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 32293.53846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 32293.53846153 with a remaining 1.1e-08.