Absolutely! Let's perform the long division of 86 by 3 step-by-step and detail the process:
1. Setup the Division Problem:
- We want to divide 86 by 3.
- Write 86 under the long division bar and 3 outside, as the divisor.
2. Divide the First Digit:
- Look at the first digit of the dividend (86).
- The first digit is 8. How many times does 3 go into 8? It goes 2 times.
- Write 2 above the division bar.
3. Multiply and Subtract:
- Multiply the quotient (2) by the divisor (3). [tex]\( 2 \times 3 = 6 \)[/tex].
- Subtract this result from the first digit (8). [tex]\( 8 - 6 = 2 \)[/tex].
4. Bring Down the Next Digit:
- Bring down the next digit of the dividend, which is 6. This makes the new number 26.
5. Repeat the Division with the New Number:
- How many times does 3 go into 26? It goes 8 times.
- Write 8 next to 2 on top of the division bar.
6. Multiply and Subtract Again:
- Multiply this new quotient (8) by the divisor (3). [tex]\( 8 \times 3 = 24 \)[/tex].
- Subtract this result from the current number (26). [tex]\( 26 - 24 = 2 \)[/tex].
7. Interpret the Results:
- Now, the quotient obtained from this division is 28.
- The remainder is 2.
So, the long division of 86 by 3 gives a quotient of 28 with a remainder of 2. Thus, the final answer can be written as:
[tex]\[ 86 \div 3 = 28 \text{ R } 2 \][/tex]
Or, more formally:
[tex]\[ 86 = 3 \times 28 + 2 \][/tex]
And that's the detailed, step-by-step solution for dividing 86 by 3.
