Let's divide 126333 by 3
Our goal is to divide 126333 by 3.

Advancing to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Going ahead to step 2:
12 divided by 3 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 12 from 12 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 3

Step 3:
The number 3 fits into 6 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 0 after subtracting 6 from 6.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Going ahead to step 4:
3 divided by 3 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 421.0
Subtracting 3 from 3 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 3

On to step 5:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 4211.0
Subtracting 3 from 3 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

On to step 6:
3 goes into 3 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 42111.0
Deduct 3 from 3 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
When dividing 0 by 3, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 42111.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
0 divided by 3 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 42111.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 42111.0, and the remainder is 0.0.