Answer :
To solve the division problem [tex]\(14013 \div 692\)[/tex], we need to find both the quotient and the remainder.
1. Identify the Dividend and Divisor:
- Dividend = 14013
- Divisor = 692
2. Divide the Dividend by the Divisor:
We begin by seeing how many times 692 fits into 14013 without exceeding it.
3. Calculate the Quotient:
Start by estimating:
- Check roughly how many whole times 692 will fit into 14013.
4. Multiply and Subtract:
- Multiply 692 by a close number to 20 (the quotient from the step above) to see how close we can get to 14013 without exceeding it.
- [tex]\(692 \times 20 = 13840\)[/tex]
5. Find the Remainder:
- Subtract the result from the dividend:
- [tex]\(14013 - 13840 = 173\)[/tex]
6. Conclusion:
- The division of 14013 by 692 gives a quotient of 20 with a remainder of 173.
Therefore, the answer is [tex]\(20\)[/tex] with a remainder of [tex]\(173\)[/tex], which corresponds to option B: [tex]\(20 \, \text{r} \, 173\)[/tex].
1. Identify the Dividend and Divisor:
- Dividend = 14013
- Divisor = 692
2. Divide the Dividend by the Divisor:
We begin by seeing how many times 692 fits into 14013 without exceeding it.
3. Calculate the Quotient:
Start by estimating:
- Check roughly how many whole times 692 will fit into 14013.
4. Multiply and Subtract:
- Multiply 692 by a close number to 20 (the quotient from the step above) to see how close we can get to 14013 without exceeding it.
- [tex]\(692 \times 20 = 13840\)[/tex]
5. Find the Remainder:
- Subtract the result from the dividend:
- [tex]\(14013 - 13840 = 173\)[/tex]
6. Conclusion:
- The division of 14013 by 692 gives a quotient of 20 with a remainder of 173.
Therefore, the answer is [tex]\(20\)[/tex] with a remainder of [tex]\(173\)[/tex], which corresponds to option B: [tex]\(20 \, \text{r} \, 173\)[/tex].
