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Answer :
To solve the division problem [tex]\( \frac{208}{16} \)[/tex], we need to determine how many times 16 can be subtracted from 208 before reaching zero or a number less than 16. Here's a step-by-step explanation:
1. Identify the Dividend and Divisor:
- Dividend: 208
- Divisor: 16
2. Perform Long Division:
- Start by seeing how many times 16 can fit into the first number(s) of the dividend. Since 16 cannot fit into 2, consider the first two digits, which are 20.
- 16 goes into 20 once (since [tex]\(16 \times 1 = 16\)[/tex]). Write 1 as the first digit of the quotient above the 20.
- Subtract 16 from 20, which leaves a remainder of 4. Bring down the next digit from the dividend to make it 48.
- 16 goes into 48 three times (since [tex]\(16 \times 3 = 48\)[/tex]). Write 3 as the next digit of the quotient.
- Subtract 48 from 48, which leaves a remainder of 0.
3. Determine the Quotient and the Remainder:
- The quotient of the division is 13.
- The remainder is 0, indicating that 208 is exactly divisible by 16 without any leftover.
So, the result of dividing 208 by 16 is a quotient of 13 with a remainder of 0.
1. Identify the Dividend and Divisor:
- Dividend: 208
- Divisor: 16
2. Perform Long Division:
- Start by seeing how many times 16 can fit into the first number(s) of the dividend. Since 16 cannot fit into 2, consider the first two digits, which are 20.
- 16 goes into 20 once (since [tex]\(16 \times 1 = 16\)[/tex]). Write 1 as the first digit of the quotient above the 20.
- Subtract 16 from 20, which leaves a remainder of 4. Bring down the next digit from the dividend to make it 48.
- 16 goes into 48 three times (since [tex]\(16 \times 3 = 48\)[/tex]). Write 3 as the next digit of the quotient.
- Subtract 48 from 48, which leaves a remainder of 0.
3. Determine the Quotient and the Remainder:
- The quotient of the division is 13.
- The remainder is 0, indicating that 208 is exactly divisible by 16 without any leftover.
So, the result of dividing 208 by 16 is a quotient of 13 with a remainder of 0.
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