We look at the division of 289664 by 84 
We want to figure out the number of times 289664 can be divided by 84.

Going ahead to step 1:
84 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 84

Step 2:
28 divided by 84 is 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 28, we end up with 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 84

Step 3:
289 divided by 84 is 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 252 from 289 to get 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 84

Advancing to step 4:
The number 84 fits into 376 4 times, leaving a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 336 from 376, we get 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 84

On to step 5:
The number 84 fits into 406 4 times, leaving a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 344.0
The remainder is 70 after subtracting 336 from 406.
Take the next digit (4) from the dividend and append it to 70, then repeat: 704 / 84

Moving on to step 6:
84 goes into 704 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 3448.0
If we subtract 672 from 704, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
When dividing 320 by 84, we get 3 with a remainder of 68.
The next digit of our result is 3. 
Result so far: 3448.3
The remainder is 68 after subtracting 252 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
When dividing 680 by 84, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 3448.38
Deduct 672 from 680 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
84 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 3448.38
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
If we divide 800 by 84, we get 9 and a remainder of 44.
The number 9 becomes the next digit in our result. 
Result so far: 3448.3809
If we subtract 756 from 800, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
If we divide 440 by 84, we get 5 and a remainder of 20.
The next digit of our result is 5. 
Result so far: 3448.38095
If we take 420 away from 440, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
If we divide 200 by 84, we get 2 and a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 3448.380952
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 13:
When dividing 320 by 84, we get 3 with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 3448.3809523
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 14:
84 can be fit into 680 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 3448.38095238
Subtracting 672 from 680 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 3448.38095238 and a remainder of 8e-09.