Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.
Sagot :
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.
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.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.