217337 ÷ 7 
We want to figure out the number of times 217337 can be divided by 7.

Advancing to step 1:
2 divided by 7 is 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.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 7

Going ahead to step 2:
When dividing 21 by 7, we get 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 21 from 21 leaves us with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 7

Step 3:
7 divided by 7 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we take 7 away from 7, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 7

On to step 4:
When dividing 3 by 7, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 310.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 7

Going ahead to step 5:
33 divided by 7 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 3104.0
Deduct 28 from 33 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 7

Step 6:
7 goes into 57 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 31048.0
Deduct 56 from 57 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.

Let's proceed to step 7:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 31048.1
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 31048.14
Subtract 28 from 30 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 9:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 31048.142
Subtract 14 from 20 to get 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 10:
When dividing 60 by 7, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 31048.1428
If we take 56 away from 60, 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 11:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 31048.14285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 31048.142857
If we subtract 49 from 50, we get 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 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 31048.1428571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 31048.14285714
If we take 28 away from 30, 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.

The final result is 31048.14285714 with a remainder of 2e-09.