College

Divide. Give the quotient and remainder.

[tex]1950 \div 62[/tex]

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

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

Answer :

To solve the division problem [tex]\(1950 \div 62\)[/tex], we want to find both the quotient and the remainder.

1. Divide: Start by dividing 1950 by 62. This means we want to see how many times 62 can fit into 1950 without exceeding it.

2. Estimate the Quotient:
- We know that [tex]\(62 \times 31 = 1922\)[/tex].
- Then, we check the next whole number: [tex]\(62 \times 32 = 1984\)[/tex], which is too large.
- Hence, 62 fits into 1950, 31 times.

3. Calculate the Remainder:
- Multiply the quotient (31) by the divisor (62): [tex]\(31 \times 62 = 1922\)[/tex].
- Subtract this product from the original dividend: [tex]\(1950 - 1922 = 28\)[/tex].

So, the quotient is 31 and the remainder is 28.

Therefore, when 1950 is divided by 62, the quotient is 31 and the remainder is 28.