To solve the division problem [tex]\(395 \div 4\)[/tex], we need to determine both the quotient and the remainder.
Step 1: Understand the division process
When dividing 395 by 4, we are essentially trying to find out how many times 4 can go into 395 completely and what is left over after that.
Step 2: Perform the division
1. Determine how many times 4 fits into the highest place value of the dividend:
- 4 goes into 3 (the first digit of 395) 0 times. So, we take the next digit to form 39.
2. Now, we determine how many times 4 fits into 39:
- 4 goes into 39, 9 times (since [tex]\(4 \times 9 = 36\)[/tex]).
- Subtract 36 from 39 to get a remainder of 3.
- Combine this remainder 3 with the next dividend digit which is 5, forming 35.
3. Determine how many times 4 fits into 35:
- 4 goes into 35, 8 times (since [tex]\(4 \times 8 = 32\)[/tex]).
- Subtract 32 from 35 to get a remainder of 3.
Thus, the quotient is 98 and the remainder is 3.
So, when you divide 395 by 4, you get a quotient of 98 and a remainder of 3.
Conclusion
The quotient and remainder for [tex]\(395 \div 4\)[/tex] are:
- Quotient: 98
- Remainder: 3
