5843 ÷ 66 
We want to divide 5843 by 66.

Moving on to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 66

Let's proceed to step 2:
66 goes into 58 0 times with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Grab the next digit (4) from the dividend, add it to 58, then carry on: 584 / 66

Step 3:
66 can be fit into 584 8 times, resulting in a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 528 from 584 and we're left with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 66

On to step 4:
The number 66 fits into 563 8 times, leaving a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
If we take 528 away from 563, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 5:
If we divide 350 by 66, we get 5 and a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 88.5
Subtracting 330 from 350 leaves us 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.

Going ahead to step 6:
The number 66 fits into 200 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 88.53
If we subtract 198 from 200, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 66 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 88.53
If we take 0 away from 20, 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.

Step 8:
If we divide 200 by 66, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 88.5303
Deduct 198 from 200 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 9:
If we divide 20 by 66, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 88.5303
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
66 goes into 200 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 88.530303
If we take 198 away from 200, we end up 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 11:
66 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 88.530303
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
The number 66 fits into 200 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 88.53030303
Subtracting 198 from 200 leaves us 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.

The final result is 88.53030303 with a remainder of 2e-09.