We divide 217259 by 7
We want to figure out the number of times 217259 can be divided by 7.

Advancing to step 1:
When dividing 2 by 7, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 7

Step 2:
21 divided by 7 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 0 after subtracting 21 from 21.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 7

Moving on to step 3:
If we divide 7 by 7, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 31.0
Subtract 7 from 7 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Moving on to step 4:
7 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 310.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 7

On to step 5:
25 divided by 7 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3103.0
If we subtract 21 from 25, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Going ahead to step 6:
49 divided by 7 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 31037.0
If we subtract 49 from 49, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
When dividing 0 by 7, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 31037.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
7 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 31037.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 31037.0 and a remainder of 0.0.