Answer :
To divide 679 by 4 and find the quotient and remainder, follow these steps:
1. Set up the division: Begin by writing 679 inside the division bracket and 4 outside. You will divide one digit at a time from left to right.
2. Divide 6 by 4: The first digit (6) can be divided by 4, resulting in 1 as the quotient because 4 goes into 6 one time. Place 1 on top of the division bracket above the 6.
3. Multiply and subtract: Multiply the divisor (4) by this first quotient digit (1), resulting in 4. Subtract 4 from 6, leaving a remainder of 2.
4. Bring down the next digit (7): Bring down the next digit from 679, which is 7, making the new number 27.
5. Divide 27 by 4: Now divide 27 by 4. Four goes into 27 six times because 4 6 = 24, which is the largest multiple of 4 that is less than or equal to 27. Write 6 above the division bracket.
6. Multiply and subtract again: Multiply 4 by 6, which is 24, and subtract this from 27 to get a remainder of 3.
7. Bring down the last digit (9): Bring down the final digit from 679, which is 9, resulting in 39.
8. Divide 39 by 4: Now divide 39 by 4. Four goes into 39 nine times because 4 9 = 36, which is the largest multiple of 4 that is less than or equal to 39. Write 9 above the division bracket.
9. Multiply and subtract one last time: Multiply 4 by 9, which is 36, and subtract this from 39 to get a remainder of 3.
Therefore, when you divide 679 by 4, you get a quotient of 169 with a remainder of 3. The result can be expressed as [tex]\(679 \div 4 = 169 \, \text{R} \, 3\)[/tex].
1. Set up the division: Begin by writing 679 inside the division bracket and 4 outside. You will divide one digit at a time from left to right.
2. Divide 6 by 4: The first digit (6) can be divided by 4, resulting in 1 as the quotient because 4 goes into 6 one time. Place 1 on top of the division bracket above the 6.
3. Multiply and subtract: Multiply the divisor (4) by this first quotient digit (1), resulting in 4. Subtract 4 from 6, leaving a remainder of 2.
4. Bring down the next digit (7): Bring down the next digit from 679, which is 7, making the new number 27.
5. Divide 27 by 4: Now divide 27 by 4. Four goes into 27 six times because 4 6 = 24, which is the largest multiple of 4 that is less than or equal to 27. Write 6 above the division bracket.
6. Multiply and subtract again: Multiply 4 by 6, which is 24, and subtract this from 27 to get a remainder of 3.
7. Bring down the last digit (9): Bring down the final digit from 679, which is 9, resulting in 39.
8. Divide 39 by 4: Now divide 39 by 4. Four goes into 39 nine times because 4 9 = 36, which is the largest multiple of 4 that is less than or equal to 39. Write 9 above the division bracket.
9. Multiply and subtract one last time: Multiply 4 by 9, which is 36, and subtract this from 39 to get a remainder of 3.
Therefore, when you divide 679 by 4, you get a quotient of 169 with a remainder of 3. The result can be expressed as [tex]\(679 \div 4 = 169 \, \text{R} \, 3\)[/tex].
