Answer :
To solve the problem 145 divided by 4 using long division, follow these steps:
- Set up the division: Write 145 under the division bracket and 4 outside to the left.
- Divide: See how many times 4 can fit into the first digit of 145 (which is 1). Since 4 cannot go into 1, consider the first two digits (14).
- Estimate: Determine how many times 4 can go into 14. It can go in 3 times because 4 times 3 is 12, which is the largest product less than 14.
- Multiply and Subtract: Multiply 4 by 3 (the number you just found) to get 12. Then, subtract 12 from 14, leaving you with a remainder of 2.
- Bring Down the Next Digit: Bring down the next digit in 145, which is 5, to make 25.
- Repeat the Division Step: Now, divide 25 by 4. 4 can fit into 25 six times because 4 times 6 is 24.
- Multiply and Subtract Again: Multiply 4 by 6, which equals 24, and subtract that from 25, leaving a remainder of 1.
- Result: The quotient is 36, with a remainder of 1.
So, 145 divided by 4 is [tex]36 \frac{1}{4}[/tex] or simply 36 R1.