Let's divide 153012 by 17
Our goal is to divide 153012 by 17.

On to step 1:
If we divide 1 by 17, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 17

Step 2:
If we divide 15 by 17, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 17

Step 3:
If we divide 153 by 17, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 153 from 153 and we're left with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 17

Advancing to step 4:
When dividing 0 by 17, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
If we subtract 0 from 0, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 17

Moving on to step 5:
If we divide 1 by 17, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 900.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 17

Advancing to step 6:
The number 17 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 9000.0
Subtract 0 from 12 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 17, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 9000.7
If we take 119 away from 120, we end up 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.

Moving on to step 8:
17 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9000.7
If we subtract 0 from 10, 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.

Moving on to step 9:
If we divide 100 by 17, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 9000.705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
If we divide 150 by 17, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 9000.7058
Deduct 136 from 150 and we're left with 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 11:
The number 17 fits into 140 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 9000.70588
Subtract 136 from 140 to get 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 quotient of the division is 9000.70588, and the remainder is 4e-06.