We're dividing 333561 by 79 
Our goal is to divide 333561 by 79.

Advancing to step 1:
3 divided by 79 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 79

Step 2:
79 goes into 33 0 times with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 79

Let's proceed to step 3:
The number 79 fits into 333 4 times, leaving a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 316 from 333 to get 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 79

On to step 4:
79 goes into 175 2 times with a remainder of 17.
The next digit of our result is 2. 
Result so far: 42.0
Subtract 158 from 175 to get 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 79

On to step 5:
79 goes into 176 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 422.0
Subtracting 158 from 176 leaves us with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 79

Moving on to step 6:
The number 79 fits into 181 2 times, leaving a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 4222.0
Deduct 158 from 181 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 79, we get 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 4222.2
If we take 158 away from 230, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 8:
720 divided by 79 is 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 4222.29
The remainder is 9 after subtracting 711 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
If we divide 90 by 79, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 4222.291
The remainder is 11 after subtracting 79 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
The number 79 fits into 110 1 times, leaving a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 4222.2911
Deduct 79 from 110 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 4222.2911, and the remainder is 0.00031.