702584 ÷ 15 
We're looking to find how many times 15 goes into 702584.

Advancing to step 1:
15 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 15

Moving on to step 2:
15 goes into 70 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 60 away from 70, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 15

Let's proceed to step 3:
15 can be fit into 102 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtract 90 from 102 to get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 15

Moving on to step 4:
When dividing 125 by 15, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 468.0
Subtracting 120 from 125 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 15

Let's proceed to step 5:
58 divided by 15 is 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 4683.0
Subtract 45 from 58 to get 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 15

Going ahead to step 6:
134 divided by 15 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 46838.0
If we subtract 120 from 134, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 15 is 9 with a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 46838.9
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 15 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 46838.93
If we subtract 45 from 50, 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.

Let's proceed to step 9:
50 divided by 15 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 46838.933
If we subtract 45 from 50, 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.

After the division, we end up with 46838.933 and a remainder of 0.0005.