We divide 225870 by 13
We want to figure out the number of times 225870 can be divided by 13.

On to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

On to step 2:
13 goes into 22 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 22 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

On to step 3:
13 goes into 95 7 times with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 91 from 95 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 13

Let's proceed to step 4:
48 divided by 13 is 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 173.0
Subtract 39 from 48 to get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 13

Advancing to step 5:
When dividing 97 by 13, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 1737.0
Deduct 91 from 97 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 13

Going ahead to step 6:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 17374.0
Deduct 52 from 60 and we're left 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 7:
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: 17374.6
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 8:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 17374.61
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.

Step 9:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 17374.615
Subtracting 65 from 70 leaves us 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 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 17374.6153
If we take 39 away from 50, we end up 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.

Going ahead to step 11:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 17374.61538
Subtracting 104 from 110 leaves us 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 12:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 17374.615384
Subtract 52 from 60 to 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.

Step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 17374.6153846
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.

Let's proceed to step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 17374.61538461
Deduct 13 from 20 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.

The final outcome is 17374.61538461, with a leftover of 7e-09.