Format the following question or task so that it is easier to read. Fix any grammar or spelling errors. Remove phrases that are not part of the question. Do not remove or change LaTeX formatting. Do not change or remove [tex] [/tex] tags. If the question is nonsense, rewrite it so that it makes sense.
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[tex]$9 8 \longdiv { 4 9 6 7 }$[/tex]
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Response:
Perform the division:

[tex]\[ 98 \longdiv{4967} \][/tex]



Answer :

To solve the given long division problem, we will divide 4967 by 98. Let's follow the long division steps:

Step 1: Setup the division

- 4967 (dividend) ÷ 98 (divisor)

Step 2: Determine how many times 98 fits into the leading part of 4967

- First, see if 98 fits into the first two digits, 49. It doesn't because 49 is less than 98.
- Now, consider the first three digits, 496.

Step 3: Estimate the quotient

- 98 goes into 496 multiple times. Let's see how many times:
- Estimate by rounding 98 (approximately 100): How many times does 100 fit into 496? About 4 to 5 times.
- Check with actual multiplication: 98 * 5 = 490, which is less than 496.

- So, 98 fits into 496 exactly 5 times.

Step 4: Calculate the first part of the quotient and subtract

- 5 × 98 = 490.
- Subtract 490 from 496: \( 496 - 490 = 6 \).
- Now bring down the next digit from 4967, which is 7, making it 67.

Step 5: Divide the remaining part

- Now, we have 67. See how many times 98 fits into 67.
- 98 is larger than 67, so it doesn't fit (0 times).
- Write 0 in the quotient and keep the remaining 67 as it is.

Combining the results:

- The quotient is computed from \( (first part) \times 10 + second part = 50 \).
- The remainder is 67.

Final Result:

When you divide 4967 by 98, the quotient is 50 and the remainder is 67.