587617 ÷ 7 
We want to figure out the number of times 587617 can be divided by 7.

Let's proceed to step 1:
7 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 7

Moving on to step 2:
When dividing 58 by 7, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 56 away from 58, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 7

Advancing to step 3:
If we divide 27 by 7, we get 3 and a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
The remainder is 6 after subtracting 21 from 27.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 7

Step 4:
7 can be fit into 66 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 839.0
If we subtract 63 from 66, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 7

On to step 5:
31 divided by 7 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 8394.0
If we subtract 28 from 31, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 7

On to step 6:
The number 7 fits into 37 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 83945.0
Deduct 35 from 37 and we're left 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.

Let's proceed to step 7:
7 goes into 20 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 83945.2
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.

Advancing to step 8:
60 divided by 7 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 83945.28
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.

Going ahead to step 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 83945.285
Subtract 35 from 40 to 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 10:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 83945.2857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
10 divided by 7 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 83945.28571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 83945.285714
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.

Going ahead to step 13:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 83945.2857142
Deduct 14 from 20 and we're left 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.

Step 14:
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: 83945.28571428
Subtracting 56 from 60 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.

The final outcome is 83945.28571428, with a leftover of 4e-09.