We look at the division of 760153 by 3 
We're looking to find how many times 3 goes into 760153.

Advancing to step 1:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 6 from 7, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Going ahead to step 2:
When dividing 16 by 3, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
The remainder is 1 after subtracting 15 from 16.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Let's proceed to step 3:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 253.0
Subtract 9 from 10 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Let's proceed to step 4:
If we divide 11 by 3, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 2533.0
Subtracting 9 from 11 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

Step 5:
The number 3 fits into 25 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 25338.0
The remainder is 1 after subtracting 24 from 25.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Going ahead to step 6:
3 goes into 13 4 times with a remainder of 1.
The next digit of our result is 4. 
Result so far: 253384.0
Subtracting 12 from 13 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.

Let's proceed to step 7:
10 divided by 3 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 253384.3
Subtract 9 from 10 to 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 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 253384.33
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.

The quotient of the division is 253384.33, and the remainder is 0.001.