We divide 284105 by 13
We want to figure out the number of times 284105 can be divided by 13.

Going ahead to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 13

Advancing to step 2:
13 can be fit into 28 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 26 from 28 leaves us with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 13

Step 3:
The number 13 fits into 24 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 13 from 24, we get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

Going ahead to step 4:
If we divide 111 by 13, we get 8 and a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 218.0
If we subtract 104 from 111, we get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 13

Step 5:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 2185.0
The remainder is 5 after subtracting 65 from 70.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

On to step 6:
When dividing 55 by 13, we get 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 21854.0
If we subtract 52 from 55, we get 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 7:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 21854.2
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.

Moving on to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 21854.23
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.

Step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21854.23
Subtract 0 from 10 to 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.

On to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 21854.2307
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.

Going ahead to step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 21854.23076
If we take 78 away from 90, we end up 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.

Advancing to step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 21854.230769
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.

On to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 21854.2307692
Subtracting 26 from 30 leaves us 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.

Going ahead to step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 21854.23076923
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.

Our division results in 21854.23076923 with a remaining 1e-09.