To solve the division problem of 5035 ÷ 31, we will find both the quotient and the remainder. Here's a detailed explanation:
Step 1: Set Up the Division
- We start with the dividend (5035) and the divisor (31).
- We will divide 5035 by 31 to find out how many times 31 fits into 5035.
Step 2: Estimate the Quotient
- To estimate, we can round 31 to 30 for easier calculation.
- Dividing 5000 by 30 gives approximately 166.67, so we can start testing with 166.
Step 3: Multiply to Find an Approximate Value
- Multiply 31 by 166:
- 31 × 166 = 5146 (too high)
- Now, try 31 × 162:
- 31 × 162 = 5022 (close)
Step 4: Calculate the Quotient
- Since 31 fits into 5035 approximately 162 times, we can confirm it as the quotient.
Step 5: Find the Remainder
- Now calculate the remainder:
- Remainder = Dividend - (Divisor × Quotient)
- Remainder = 5035 - (31 × 162)
- Remainder = 5035 - 5022 = 13
Final Results
- Quotient: 162
- Remainder: 13
Thus, when you divide 5035 by 31, you get a quotient of 162 and a remainder of 13. This means 31 goes into 5035 a total of 162 times, with 13 left over.