To solve the division problem [tex]\( 96100 \div 310 \)[/tex]:
1. First, we need to determine how many times 310 can fit into 96100.
2. We start by performing integer division of the dividend 96100 by the divisor 310.
3. Divide [tex]\( 96100 \)[/tex] by [tex]\( 310 \)[/tex]:
- 310 goes into 96100 exactly 310 times, without exceeding 96100.
4. Next, we verify the quotient and the remainder.
- Quotation is the largest integer less or equal to the result of the division. Here, it is [tex]\( 310 \)[/tex].
- To verify, we multiply the quotient by the divisor: [tex]\( 310 \times 310 = 96100 \)[/tex].
5. Calculate the difference to find the remainder:
- Subtract [tex]\( 96100 \)[/tex] (the product of [tex]\( 310 \times 310 \)[/tex]) from the original dividend [tex]\( 96100 \)[/tex]:
[tex]\[\text{Remainder} = 96100 - 96100 = 0\][/tex]
Therefore, the quotient of [tex]\( 96100 \div 310 \)[/tex] is [tex]\( 310 \)[/tex] and the remainder is [tex]\( 0 \)[/tex].
In summary, the quotient is [tex]\( 310 \)[/tex] and the remainder is [tex]\( 0 \)[/tex].
