We look at the division of 369268 by 3 
We want to divide 369268 by 3.

Going ahead to step 1:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Advancing to step 2:
If we divide 6 by 3, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 6 from 6 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 3

Going ahead to step 3:
If we divide 9 by 3, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 123.0
Deduct 9 from 9 and we're left with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 3

Advancing to step 4:
3 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 1230.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 5:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 12308.0
If we subtract 24 from 26, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Going ahead to step 6:
When dividing 28 by 3, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 123089.0
If we subtract 27 from 28, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 123089.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 123089.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 123089.33 with a remainder of 0.001.