What will be the quotient when 2143 is divided by 38

Options

A. 56
B. 55
C. 57
D. 54

Answer

To find the quotient when 2143 is divided by 38, we will perform long division step by step.

### Step-by-Step Solution:

1. **Set Up the Division**: We want to divide 2143 by 38. We write it as:
\[ 2143 \div 38 \]

2. **Determine How Many Times 38 Fits into the First Part of 2143**:
- We look at the first two digits of 2143, which is 21. Since 38 is greater than 21, we consider the first three digits, which is 214.
- Now, we need to find how many times 38 can fit into 214.

3. **Calculate the Quotient for 214**:
- 38 goes into 214 a total of 5 times because:
\[ 38 \times 5 = 190 \]
- We write 5 above the division line.

4. **Subtract to Find the Remainder**:
- Now, subtract 190 from 214:
\[ 214 - 190 = 24 \]

5. **Bring Down the Next Digit**:
- We bring down the next digit from 2143, which is 3. Now we have 243.

6. **Determine How Many Times 38 Fits into 243**:
- Next, we find how many times 38 fits into 243.
- 38 goes into 243 a total of 6 times because:
\[ 38 \times 6 = 228 \]
- We write 6 above the division line next to the 5, making it 56.

7. **Subtract Again to Find the New Remainder**:
- Now, subtract 228 from 243:
\[ 243 - 228 = 15 \]

8. **Final Result**:
- Since we have no more digits to bring down, the quotient is 56 and the remainder is 15.
- Therefore, the final answer is:
\[ \text{Quotient} = 56 \]