We're dividing 642165 by 89 
Let's see how many times 89 fits into 642165.

On to step 1:
The number 89 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 89

Advancing to step 2:
89 can be fit into 64 0 times, resulting in a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 89

Let's proceed to step 3:
The number 89 fits into 642 7 times, leaving a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 623 from 642 to get 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 89

Let's proceed to step 4:
89 can be fit into 191 2 times, resulting in a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
The remainder is 13 after subtracting 178 from 191.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 89

Let's proceed to step 5:
If we divide 136 by 89, we get 1 and a remainder of 47.
The next digit of our result is 1. 
Result so far: 721.0
If we take 89 away from 136, we end up with 47.
Bring next digit (5) of the dividend behind the 47 and repeat the process: 475 / 89

Moving on to step 6:
475 divided by 89 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 7215.0
If we subtract 445 from 475, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
89 can be fit into 300 3 times, resulting in a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 7215.3
Subtracting 267 from 300 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
89 goes into 330 3 times with a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 7215.33
The remainder is 63 after subtracting 267 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

After the division, we end up with 7215.33 and a remainder of 0.063.