289475 ÷ 13 
We want to figure out the number of times 289475 can be divided by 13.

Step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Moving on to step 2:
If we divide 28 by 13, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 26 from 28 leaves us with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

Going ahead to step 3:
13 can be fit into 29 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 22.0
If we take 26 away from 29, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

Step 4:
When dividing 34 by 13, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 222.0
Deduct 26 from 34 and we're left with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Moving on to step 5:
13 goes into 87 6 times with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 2226.0
Subtracting 78 from 87 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Advancing to step 6:
When dividing 95 by 13, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 22267.0
If we take 91 away from 95, 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.

Moving on to step 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 22267.3
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.

Moving on to step 8:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 22267.3
Deduct 0 from 10 and we're left 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.

Going ahead to step 9:
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: 22267.307
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.

Advancing to step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 22267.3076
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.

Moving on to step 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 22267.30769
If we subtract 117 from 120, 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 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 22267.307692
If we subtract 26 from 30, we 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.

Step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 22267.3076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 22267.3076923
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.

Our division results in 22267.3076923 with a remaining 1e-08.