Dividing Multi-Digit Numbers
This Grade 6 math skill from Pengi Math (Grade 6) develops students ability to divide multi-digit whole numbers using long division and related strategies. Students practice dividing numbers with multiple digits in both the dividend and divisor, interpreting remainders in context, and checking answers with multiplication.
Key Concepts
Property Division is the process of finding how many times a number (the divisor) is contained within another number (the dividend). The result is called the quotient. $$ \text{Dividend} \div \text{Divisor} = \text{Quotient} $$.
Examples To calculate $4500 \div 125$: $$ \begin{array}{r} \ \ \ \ 36 \\ 125 \overline{) 4500} \\ \ \ 375\phantom{0} \\ \hline \ \ \ \ 750 \\ \ \ 750 \\ \hline \ \ \ \ \ \ 0 \\ \end{array} $$ The quotient is $36$. To calculate $9375 \div 125$: $$\begin{array}{r} \ \ \ \ 75 \\ 125 \overline{) 9375} \\ \ \ 875\phantom{0} \\ \hline \ \ \ \ 625 \\ \ \ 625 \\ \hline \ \ \ \ \ \ 0 \\ \end{array}$$ The quotient is $75$.
Explanation Division is the inverse operation of multiplication and is used to split a whole into equal parts. Long division is a standard algorithm used to solve division problems with multi digit numbers. The process involves a repeating cycle of steps: divide, multiply, subtract, and bring down the next digit from the dividend. In these examples, the final subtraction results in zero, indicating there is no remainder.
Common Questions
How do you divide multi-digit numbers using long division?
Divide the leftmost digit(s) of the dividend by the divisor, multiply, subtract, bring down the next digit, and repeat until all digits are used.
What does the remainder mean in division?
The remainder is the amount left over after dividing as evenly as possible. It can be expressed as a fraction or decimal depending on the context.
How do you check a long division answer?
Multiply the quotient by the divisor and add the remainder. The result should equal the original dividend.
What is the difference between dividend, divisor, and quotient?
The dividend is the number being divided, the divisor is the number you are dividing by, and the quotient is the result of the division.
Where is dividing multi-digit numbers taught in Grade 6?
Dividing multi-digit numbers is covered in the Grade 6 Pengi Math textbook as a core arithmetic skill.