87225829 divided by 643 
We want to figure out the number of times 87225829 can be divided by 643.

Let's proceed to step 1:
If we divide 8 by 643, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 643

Moving on to step 2:
643 goes into 87 0 times with a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Grab the next digit (2) from the dividend, add it to 87, then carry on: 872 / 643

Let's proceed to step 3:
643 goes into 872 1 times with a remainder of 229.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 643 from 872 and we're left with 229.
Take the next digit (2) from the dividend and append it to 229, then repeat: 2292 / 643

Let's proceed to step 4:
When dividing 2292 by 643, we get 3 with a remainder of 363.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 363 after subtracting 1929 from 2292.
Bring next digit (5) of the dividend behind the 363 and repeat the process: 3635 / 643

On to step 5:
643 can be fit into 3635 5 times, resulting in a remainder of 420.
Use 5 as the next digit of our solution. 
Result so far: 135.0
If we subtract 3215 from 3635, we get 420.
Take the next digit (8) from the dividend and append it to 420, then repeat: 4208 / 643

Step 6:
The number 643 fits into 4208 6 times, leaving a remainder of 350.
Write down 6 as next digit of the result. 
Result so far: 1356.0
If we subtract 3858 from 4208, we get 350.
Take the next digit (2) from the dividend and append it to 350, then repeat: 3502 / 643

Advancing to step 7:
If we divide 3502 by 643, we get 5 and a remainder of 287.
The next digit of our result is 5. 
Result so far: 13565.0
Deduct 3215 from 3502 and we're left with 287.
Append the next digit (9) from the dividend to 287 and continue with: 2879 / 643

On to step 8:
The number 643 fits into 2879 4 times, leaving a remainder of 307.
Write down 4 as next digit of the result. 
Result so far: 135654.0
Deduct 2572 from 2879 and we're left with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Going ahead to step 9:
3070 divided by 643 is 4 with a remainder of 498.
Put 4 as the next digit of the answer. 
Result so far: 135654.4
Subtracting 2572 from 3070 leaves us with 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Step 10:
4980 divided by 643 is 7 with a remainder of 479.
The number 7 becomes the next digit in our result. 
Result so far: 135654.47
If we take 4501 away from 4980, we end up with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Let's proceed to step 11:
When dividing 4790 by 643, we get 7 with a remainder of 289.
The next digit of our result is 7. 
Result so far: 135654.477
Subtracting 4501 from 4790 leaves us with 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

The final result is 135654.477 with a remainder of 0.0289.