143164 ÷ 15 
Our goal is to divide 143164 by 15.

Moving on to step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 15

On to step 2:
15 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 15

Let's proceed to step 3:
15 goes into 143 9 times with a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 135 from 143 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 15

Step 4:
15 can be fit into 81 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 95.0
The remainder is 6 after subtracting 75 from 81.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 15

Advancing to step 5:
When dividing 66 by 15, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 954.0
Deduct 60 from 66 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 15

Let's proceed to step 6:
15 can be fit into 64 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 9544.0
Deduct 60 from 64 and we're left 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.

Advancing to step 7:
If we divide 40 by 15, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 9544.2
Subtract 30 from 40 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.
Put 6 as the next digit of the answer. 
Result so far: 9544.26
If we take 90 away from 100, we end up 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:
100 divided by 15 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 9544.266
Deduct 90 from 100 and we're left 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.

The quotient of the division is 9544.266, and the remainder is 0.001.