642384 ÷ 89 
We're looking to find how many times 89 goes into 642384.

Advancing to step 1:
The number 89 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 89

Let's proceed to step 2:
If we divide 64 by 89, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 89

Step 3:
89 goes into 642 7 times with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 623 from 642 and we're left with 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 89

Let's proceed to step 4:
When dividing 193 by 89, we get 2 with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we take 178 away from 193, we end up with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 89

Advancing to step 5:
89 can be fit into 158 1 times, resulting in a remainder of 69.
The next digit of our result is 1. 
Result so far: 721.0
The remainder is 69 after subtracting 89 from 158.
Bring next digit (4) of the dividend behind the 69 and repeat the process: 694 / 89

Going ahead to step 6:
The number 89 fits into 694 7 times, leaving a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 7217.0
If we take 623 away from 694, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 7:
89 can be fit into 710 7 times, resulting in a remainder of 87.
Use 7 as the next digit of our solution. 
Result so far: 7217.7
Subtracting 623 from 710 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 8:
When dividing 870 by 89, we get 9 with a remainder of 69.
The next digit of our result is 9. 
Result so far: 7217.79
The remainder is 69 after subtracting 801 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 9:
If we divide 690 by 89, we get 7 and a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 7217.797
If we take 623 away from 690, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 10:
670 divided by 89 is 7 with a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 7217.7977
Subtract 623 from 670 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final result is 7217.7977 with a remainder of 0.00047.