We look at the division of 145889 by 17 
Let's see how many times 17 fits into 145889.

Advancing to step 1:
If we divide 1 by 17, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 17

Step 2:
17 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
Subtracting 0 from 14 leaves us with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 17

Moving on to step 3:
If we divide 145 by 17, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 136 from 145 and we're left with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 17

Advancing to step 4:
17 can be fit into 98 5 times, resulting in a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 85.0
Deduct 85 from 98 and we're left with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 17

Step 5:
If we divide 138 by 17, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 858.0
The remainder is 2 after subtracting 136 from 138.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 17

On to step 6:
The number 17 fits into 29 1 times, leaving a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 8581.0
If we subtract 17 from 29, we 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.

Advancing to step 7:
17 goes into 120 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 8581.7
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.

Advancing to step 8:
17 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 8581.7
Subtracting 0 from 10 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.

Moving on to step 9:
17 goes into 100 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 8581.705
If we take 85 away from 100, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
150 divided by 17 is 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 8581.7058
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:
If we divide 140 by 17, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 8581.70588
Subtracting 136 from 140 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 quotient of the division is 8581.70588, and the remainder is 4e-06.