321569 ÷ 84 
We want to divide 321569 by 84.

Going ahead to step 1:
When dividing 3 by 84, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 84

Advancing to step 2:
If we divide 32 by 84, we get 0 and a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 32, we get 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 84

Let's proceed to step 3:
The number 84 fits into 321 3 times, leaving a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 69 after subtracting 252 from 321.
Grab the next digit (5) from the dividend, add it to 69, then carry on: 695 / 84

Let's proceed to step 4:
695 divided by 84 is 8 with a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Deduct 672 from 695 and we're left with 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 84

Let's proceed to step 5:
If we divide 236 by 84, we get 2 and a remainder of 68.
The next digit of our result is 2. 
Result so far: 382.0
Deduct 168 from 236 and we're left with 68.
Include the next digit (9) from the dividend after 68, then repeat: 689 / 84

Let's proceed to step 6:
84 can be fit into 689 8 times, resulting in a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 3828.0
If we subtract 672 from 689, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
84 goes into 170 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 3828.2
Deduct 168 from 170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 84 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 3828.2
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 84, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 3828.202
Subtract 168 from 200 to 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.

On to step 10:
84 goes into 320 3 times with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 3828.2023
Deduct 252 from 320 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 11:
680 divided by 84 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 3828.20238
If we take 672 away from 680, we end up 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.

Let's proceed to step 12:
If we divide 80 by 84, we get 0 and a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 3828.20238
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
When dividing 800 by 84, we get 9 with a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 3828.2023809
The remainder is 44 after subtracting 756 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 14:
84 goes into 440 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 3828.20238095
The remainder is 20 after subtracting 420 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 3828.20238095 and a remainder of 2e-08.