This understanding involves partitioning a two-digit dividend into equal groups of a one-digit divisor, using place value to decompose tens and ones and determine a whole-number quotient, with or without a remainder. The relationship is represented by equations such as , where the remainder is less than the divisor, and connected to multiplication as its inverse; decimal quotients, fractional remainders, and larger or multi-digit divisors are outside this scope.
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- Start working on adaptive units like “Division 2 by 1 Digit” or “Division of Integers - Advanced” that introduce, teach, or practice “Divide a 2-digit number by a 1-digit number” to maximize your learning.
Detailed Explanation: Divide a 2-digit number by a 1-digit number
To divide a 2-digit number by a 1-digit number, split the dividend into tens and ones. Divide each part, then combine the groups.
Example:
- Split into tens and ones:
- Divide the tens:
So, there are groups from the tens.
- Divide the ones:
There are more groups, with left over.
- Combine the groups:
Therefore,
Check the answer using multiplication:
The remainder, , is less than the divisor, , so the answer is correct.
Learn by doing: Divide a 2-digit number by a 1-digit number
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Practice:
Long Division - With Remainder 2 x 1
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Download/Modify Free Grade 4 'Divide a 2-digit number by a 1-digit number' Worksheet
Print this free 'Divide a 2-digit number by a 1-digit number' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Long Division - With Remainder 2 x 1
- Division Equation - With Remainder 2 x 1
- Long Division - No Remainder 2 x 1
- Division Equation - No Remainder 2 x 1
- Division as Fraction - With Remainder 2 x 1
- Division as Fraction - No Remainder 2 x 1
- Division Cards Model - Deck and Hand Size to Player Count - No Remainder (2 Digit)
- Division Cards Model - Deck and Player Count to Hand Size - No Remainder (2 Digit)
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Divide a 2-digit number by a 1-digit number) through scaffolded problems that grow in difficulty as concepts are understood.