Answer :
Sure! Let's solve the division step-by-step:
Problem: Divide 173 by 7.
Step-by-Step Solution:
1. Set Up the Division:
- Write 173 (the dividend) under the division bar.
- Write 7 (the divisor) outside the division bar.
2. Begin Division:
- First, see how many times 7 can go into the first digit of 173 (which is 1). Since 7 is larger than 1, it cannot go in. So, we consider the first two digits.
3. Consider the First Two Digits:
- Now consider 17 (the first two digits of 173). Determine how many times 7 can go into 17 without exceeding it.
- 7 goes into 17 twice (since 7 × 2 = 14, which is less than 17).
4. Calculate and Subtract:
- Put 2 above the division bar.
- Multiply 7 by 2, which gives 14.
- Subtract 14 from 17 to get a remainder of 3.
5. Bring Down the Next Digit:
- Bring down the next digit, which is 3, making the new number to consider 33.
6. Repeat the Process:
- Determine how many times 7 can go into 33 without exceeding it.
- 7 goes into 33 four times (since 7 × 4 = 28, which is less than 33).
7. Calculate and Subtract:
- Put 4 above the division bar, next to the 2.
- Multiply 7 by 4, which gives 28.
- Subtract 28 from 33 to get a remainder of 5.
So, the quotient is 24 and the remainder is 5.
Written as:
[tex]\[ 173 ÷ 7 = 24 \text{ remainder } 5. \][/tex]
Therefore, the detailed step-by-step solution shows that [tex]\( 173 ÷ 7 \)[/tex] results in a quotient of 24 with a remainder of 5.
Problem: Divide 173 by 7.
Step-by-Step Solution:
1. Set Up the Division:
- Write 173 (the dividend) under the division bar.
- Write 7 (the divisor) outside the division bar.
2. Begin Division:
- First, see how many times 7 can go into the first digit of 173 (which is 1). Since 7 is larger than 1, it cannot go in. So, we consider the first two digits.
3. Consider the First Two Digits:
- Now consider 17 (the first two digits of 173). Determine how many times 7 can go into 17 without exceeding it.
- 7 goes into 17 twice (since 7 × 2 = 14, which is less than 17).
4. Calculate and Subtract:
- Put 2 above the division bar.
- Multiply 7 by 2, which gives 14.
- Subtract 14 from 17 to get a remainder of 3.
5. Bring Down the Next Digit:
- Bring down the next digit, which is 3, making the new number to consider 33.
6. Repeat the Process:
- Determine how many times 7 can go into 33 without exceeding it.
- 7 goes into 33 four times (since 7 × 4 = 28, which is less than 33).
7. Calculate and Subtract:
- Put 4 above the division bar, next to the 2.
- Multiply 7 by 4, which gives 28.
- Subtract 28 from 33 to get a remainder of 5.
So, the quotient is 24 and the remainder is 5.
Written as:
[tex]\[ 173 ÷ 7 = 24 \text{ remainder } 5. \][/tex]
Therefore, the detailed step-by-step solution shows that [tex]\( 173 ÷ 7 \)[/tex] results in a quotient of 24 with a remainder of 5.
