College

Divide the following and provide the quotient and remainder:

[tex]\[ 2473 \div 62 \][/tex]

Quotient: [tex]\(\square\)[/tex]

Remainder: [tex]\(\square\)[/tex]

Answer :

To solve the problem of dividing 2473 by 62 and finding the quotient and remainder, follow these steps:

1. Set up the division: Place 2473 inside the division symbol (the dividend) and 62 outside (the divisor).

2. Determine the initial part of the dividend to divide: Look at the first two digits of 2473, which is 24. Since 24 is less than 62, you need to include the next digit, making it 247.

3. Find how many times 62 can go into 247 without exceeding it:
- 62 multiplied by 3 gives 186.
- 62 multiplied by 4 gives 248, which is too large.

So, 62 goes into 247 exactly 3 times.

4. Calculate the product and subtract: Multiply 62 by 3, which equals 186. Subtract 186 from 247, which gives a remainder of 61.

5. Bring down the next digit: Now, bring down the next digit from the dividend (3 from 2473) to the remainder, making it 613.

6. Divide again: Determine how many times 62 goes into 613.
- 62 multiplied by 9 gives 558.
- 62 multiplied by 10 gives 620, which is too much.

So, 62 goes into 613 exactly 9 times.

7. Calculate the product and subtract: Multiply 62 by 9, which equals 558. Subtract 558 from 613, leaving a remainder of 55.

8. Compile the results: The quotient is the number of times the divisor fits into the dividend, which is 39. The remainder is what's left after the last subtraction, which is 55.

Therefore, the quotient is 39 and the remainder is 55.