Divide a 4-Digit Number by a 2-Digit Number
Dividing a 4-digit number by a 2-digit number is a Grade 5 math skill in enVision Mathematics, Chapter 5: Use Models and Strategies to Divide Whole Numbers. Students use place value and the partial quotients strategy, finding how many times the divisor fits into portions of the dividend starting from the largest place, then combining partial quotients for the final answer. This builds toward fluent long division.
Key Concepts
Property To divide a 4 digit number (the dividend) by a 2 digit number (the divisor), you can use place value and partial quotients. The process involves finding how many times the divisor goes into parts of the dividend, starting with the largest place value. The relationship can be expressed as: $$Dividend = (Divisor \times Quotient) + Remainder$$.
Examples $1,455 \div 15 = 97$ $2,589 \div 21 = 123 \text{ R } 6$ $5,240 \div 50 = 104 \text{ R } 40$.
Explanation This skill involves dividing a number in the thousands by a two digit number. You can break the problem down by thinking about place value, for example, how many times the divisor fits into the thousands, then the hundreds, and so on. This process often involves regrouping, like trading leftover hundreds for tens. The final answer, or quotient, may also include a remainder if the dividend is not perfectly divisible by the divisor.
Common Questions
How do you divide a 4-digit number by a 2-digit number?
Start by seeing how many times the divisor goes into the first two or three digits of the dividend, record that partial quotient, subtract, bring down the next digit, and repeat until done.
What is the partial quotients method for division?
Partial quotients breaks division into steps: estimate how many times the divisor fits into the remaining dividend, subtract, and keep a running total of quotients until the remainder is less than the divisor.
What is 1,596 ÷ 12?
12 goes into 1,596 about 133 times with no remainder. You can check: 12 × 133 = 1,596.
Where is 4-digit by 2-digit division taught in enVision Grade 5?
Chapter 5: Use Models and Strategies to Divide Whole Numbers in enVision Mathematics, Grade 5.
How is dividing a 4-digit number by a 2-digit number different from simpler division?
The process is the same but involves more steps because the dividend has more digits, requiring more partial quotient estimates and subtractions.