98 ÷ 7

11 answers

98 ÷ 7 = 14.

what are the four steps to dividing in long division

Long division can be performed using a systematic approach. Here are the four main steps:

  1. Divide: Determine how many times the divisor can fit into the leading part of the dividend. Write that number above the division line.

  2. Multiply: Multiply the divisor by the number you just wrote above. Write the result below the leading part of the dividend.

  3. Subtract: Subtract the number you just calculated from the leading part of the dividend. Write the result below.

  4. Bring Down: Bring down the next digit of the dividend (if there are any digits left). Repeat the process of dividing, multiplying, and subtracting until you have brought down all the digits of the dividend.

Once you cannot bring down any more digits, you may end up with a remainder, or if the division completes evenly, you’ll have the final quotient. If necessary, you can continue to add decimal places.

2,948 ÷ 8

Let's perform the long division for \( 2,948 \div 8 \).

  1. Divide:

    • 8 goes into 29 three times (since \( 8 \times 3 = 24 \)).
    • Write 3 above the 29.
  2. Multiply:

    • Multiply: \( 3 \times 8 = 24 \).
    • Write 24 below 29.
  3. Subtract:

    • Subtract: \( 29 - 24 = 5 \).
    • Write the result (5) below.
  4. Bring Down:

    • Bring down the next digit (4), making it 54.
  5. Divide again:

    • 8 goes into 54 six times (since \( 8 \times 6 = 48 \)).
    • Write 6 above the 4.
  6. Multiply:

    • Multiply: \( 6 \times 8 = 48 \).
    • Write 48 below 54.
  7. Subtract:

    • Subtract: \( 54 - 48 = 6 \).
    • Write the result (6) below.
  8. Bring Down:

    • Bring down the next digit (8), making it 68.
  9. Divide again:

    • 8 goes into 68 eight times (since \( 8 \times 8 = 64 \)).
    • Write 8 above the last digit.
  10. Multiply:

  • Multiply: \( 8 \times 8 = 64 \).
  • Write 64 below 68.
  1. Subtract:
  • Subtract: \( 68 - 64 = 4 \).

Now that there are no more digits to bring down, the final result is:

  • Quotient: 368
  • Remainder: 4

So, \( 2,948 \div 8 = 368 \) with a remainder of 4. You can also express the result as \( 368 \frac{4}{8} \) or \( 368.5 \).

651 ÷ 54

Let's perform the long division for \( 651 \div 54 \).

  1. Divide:

    • 54 goes into 651 about 12 times (since \( 54 \times 12 = 648 \)).
    • Write 12 above the division line.
  2. Multiply:

    • Multiply: \( 12 \times 54 = 648 \).
    • Write 648 below 651.
  3. Subtract:

    • Subtract: \( 651 - 648 = 3 \).
    • Write the result (3) below.

Now, since there are no more digits to bring down, the final result is:

  • Quotient: 12
  • Remainder: 3

So, \( 651 \div 54 = 12 \) with a remainder of 3. You can also express the result as \( 12 \frac{3}{54} \) or approximately \( 12.055 \) if you convert it into a decimal, which is \( 12.06 \) when rounded to two decimal places.

111 - 108

\( 111 - 108 = 3 \).

9,976 ÷ ? = 665 r1

To find the unknown divisor in the equation \( 9,976 \div ? = 665 \) with a remainder of 1, we can set up the equation based on the long division format:

\[ 9,976 = ? \times 665 + 1 \]

Now, we can rearrange this to find the divisor:

  1. Start by subtracting the remainder from the dividend: \[ 9,976 - 1 = 9,975 \]

  2. Now, divide the result by 665 to find the divisor: \[ ? = \frac{9,975}{665} \]

Now, performing the division:

\[ 9,975 \div 665 = 15 \]

So the divisor is 15.

To verify, we can check the calculation:

\[ 9,976 \div 15 = 665 \quad \text{with a remainder of } 1. \]

Thus, the unknown divisor is 15.