Answer :

To solve the division problem [tex]\( 9581 \div 143 \)[/tex], follow these steps:

1. Understand the terms:
- The number 9581 is called the dividend.
- The number 143 is called the divisor.
- The answer to a division problem is called the quotient.

2. Perform the long division:
- Determine how many times 143 can fit into the beginning of 9581. Start with the first few digits.
- 143 does not fit into the first two digits of 95, so consider the first three digits, 958.
- Check how many times 143 can fit into 958. It fits six times (since [tex]\( 143 \times 6 = 858 \)[/tex]).
- Subtract 858 from 958, giving a remainder of 100.
- Bring down the next digit from 9581, which makes it 1001.
- Determine how many times 143 can fit into 1001. It fits seven times (since [tex]\( 143 \times 7 = 1001 \)[/tex]).
- Subtract 1001 from 1001, with a remainder of 0.

3. Calculate Quotient:
- The quotient is 67, as 143 fits into 9581 exactly 67 times with no remainder.

Therefore, [tex]\( 9581 \div 143 = 67 \)[/tex].