Answer :
Sure, let's solve the problem step-by-step:
### Step-by-Step Division
1. Divide the highest order digits that the divisor fits into
- We start by looking at the first digit of the dividend (348), which is 3. Since 4 does not go into 3, we consider the first two digits, 34.
- 4 goes into 34 a certain number of times.
2. Determine the quotient for this part
- 4 goes into 34 exactly 8 times because [tex]\(4 \times 8 = 32\)[/tex], which is the closest number to 34 without exceeding it.
3. Subtract to find the remainder
- Subtract 32 from 34 to get a remainder of 2:
[tex]\[ 34 - 32 = 2 \][/tex]
4. Bring down the next digit
- Next, we bring down the 8 to join the remainder of 2, making it 28.
5. Divide again
- Now, we see how many times 4 goes into 28:
[tex]\[ 4 \times 7 = 28 \][/tex]
- 4 goes into 28 exactly 7 times.
6. Subtract again
- Subtract 28 from 28 to get a remainder of 0:
[tex]\[ 28 - 28 = 0 \][/tex]
By following these steps:
- The quotient of [tex]\(348 \div 4\)[/tex] is 87.
- The remainder is 0.
### Final Answer
So, when you divide 348 by 4, the quotient is 87 and the remainder is 0.
### Step-by-Step Division
1. Divide the highest order digits that the divisor fits into
- We start by looking at the first digit of the dividend (348), which is 3. Since 4 does not go into 3, we consider the first two digits, 34.
- 4 goes into 34 a certain number of times.
2. Determine the quotient for this part
- 4 goes into 34 exactly 8 times because [tex]\(4 \times 8 = 32\)[/tex], which is the closest number to 34 without exceeding it.
3. Subtract to find the remainder
- Subtract 32 from 34 to get a remainder of 2:
[tex]\[ 34 - 32 = 2 \][/tex]
4. Bring down the next digit
- Next, we bring down the 8 to join the remainder of 2, making it 28.
5. Divide again
- Now, we see how many times 4 goes into 28:
[tex]\[ 4 \times 7 = 28 \][/tex]
- 4 goes into 28 exactly 7 times.
6. Subtract again
- Subtract 28 from 28 to get a remainder of 0:
[tex]\[ 28 - 28 = 0 \][/tex]
By following these steps:
- The quotient of [tex]\(348 \div 4\)[/tex] is 87.
- The remainder is 0.
### Final Answer
So, when you divide 348 by 4, the quotient is 87 and the remainder is 0.