Let's divide 588667 by 15
Let's see how many times 15 fits into 588667.

Going ahead to step 1:
If we divide 5 by 15, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 15

Advancing to step 2:
The number 15 fits into 58 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 45 from 58 and we're left with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 15

On to step 3:
When dividing 138 by 15, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
The remainder is 3 after subtracting 135 from 138.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 15

Step 4:
If we divide 36 by 15, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 392.0
If we take 30 away from 36, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 15

Moving on to step 5:
15 goes into 66 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 3924.0
Deduct 60 from 66 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 15

Going ahead to step 6:
When dividing 67 by 15, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 39244.0
Deduct 60 from 67 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.

Moving on to step 7:
When dividing 70 by 15, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 39244.4
Subtract 60 from 70 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 39244.46
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 39244.466
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 39244.466, and the remainder is 0.001.