Answer :
- Divide 679 by 4.
- Perform long division to find the quotient and remainder.
- The quotient is 169 and the remainder is 3.
- Express the answer as $\boxed{169; R3}$.
### Explanation
1. Understanding the Problem
We need to divide 679 by 4 and find the quotient and the remainder. This is a basic division problem.
2. Performing the Division
We perform the division $679 \div 4$.
3. First Step of Long Division
$4$ goes into $6$ one time, so we write $1$ above the $6$. $1 \times 4 = 4$, and $6 - 4 = 2$. We bring down the $7$ to make $27$.
4. Second Step of Long Division
$4$ goes into $27$ six times, so we write $6$ above the $7$. $6 \times 4 = 24$, and $27 - 24 = 3$. We bring down the $9$ to make $39$.
5. Third Step of Long Division
$4$ goes into $39$ nine times, so we write $9$ above the $9$. $9 \times 4 = 36$, and $39 - 36 = 3$. The remainder is $3$.
6. Result of the Division
So, $679 \div 4 = 169$ with a remainder of $3$.
7. Final Answer
Therefore, the answer is $169$ with a remainder of $3$, which is written as $169; R3$.
### Examples
In real life, division is used in many situations, such as splitting a bill equally among friends, calculating how many items you can buy with a certain amount of money, or determining how many equal groups can be formed from a larger set. For example, if you have 679 apples and want to pack them into boxes of 4, you can pack 169 boxes and have 3 apples left over.
- Perform long division to find the quotient and remainder.
- The quotient is 169 and the remainder is 3.
- Express the answer as $\boxed{169; R3}$.
### Explanation
1. Understanding the Problem
We need to divide 679 by 4 and find the quotient and the remainder. This is a basic division problem.
2. Performing the Division
We perform the division $679 \div 4$.
3. First Step of Long Division
$4$ goes into $6$ one time, so we write $1$ above the $6$. $1 \times 4 = 4$, and $6 - 4 = 2$. We bring down the $7$ to make $27$.
4. Second Step of Long Division
$4$ goes into $27$ six times, so we write $6$ above the $7$. $6 \times 4 = 24$, and $27 - 24 = 3$. We bring down the $9$ to make $39$.
5. Third Step of Long Division
$4$ goes into $39$ nine times, so we write $9$ above the $9$. $9 \times 4 = 36$, and $39 - 36 = 3$. The remainder is $3$.
6. Result of the Division
So, $679 \div 4 = 169$ with a remainder of $3$.
7. Final Answer
Therefore, the answer is $169$ with a remainder of $3$, which is written as $169; R3$.
### Examples
In real life, division is used in many situations, such as splitting a bill equally among friends, calculating how many items you can buy with a certain amount of money, or determining how many equal groups can be formed from a larger set. For example, if you have 679 apples and want to pack them into boxes of 4, you can pack 169 boxes and have 3 apples left over.
