To solve this problem, we'll follow these steps:
- Step 1: Set up the long division.
- Step 2: Divide the first digit(s) of the dividend by the divisor and determine the partial quotient.
- Step 3: Subtract, bring down the next digit, and repeat until complete.
- Step 4: Identify the final quotient and remainder.
Let's go through the steps in detail:
Step 1: The dividend is 2436 and the divisor is 5. Our task is to perform long division.
Step 2: Start from the leftmost digit of the dividend:
- Divide 24 by 5 (since 24 is the first two digits that 5 can divide).
- The quotient is 4 (because 5×4=20).
- Subtract 20 from 24 to get a remainder of 4.
Step 3: Bring down the next digit, 3, making the new number 43.
- Divide 43 by 5.
- The quotient is 8 (because 5×8=40).
- Subtract 40 from 43 to get a remainder of 3.
Step 4: Bring down the next digit, 6, making the new number 36.
- Divide 36 by 5.
- The quotient is 7 (because 5×7=35).
- Subtract 35 from 36 to get a remainder of 1.
The long division is complete. We are left with:
- Quotient: 487
- Remainder: 1
Thus, the division shows that 2436÷5=487 with a remainder of 1.
Therefore, the solution to the problem is 487 with a remainder of 1.
487 with a remainder of 1