007. Division with Remainders and Short Division

Learning Intentions

To know that a division of two numbers can result in a quotient and a remainder, and the result can be written as a mixed numeral if there is a remainder
use mental strategies to find quotients
apply the short division algorithm to divide positive integers

Express the result with a remainder and as a mixed numeral:

a) $17 \div 5$
b) $29 \div 4$

Use mental strategies:

a) $48 \div 6$
b) $63 \div 7$
c) $96 \div 8$

Use mental strategies with remainders:

a) $52 \div 5$
b) $73 \div 6$

Use the short division algorithm:

a) $84 \div 4$
b) $156 \div 3$

Use the short division algorithm:

a) $728 \div 6$
b) $3 645 \div 5$

a) $19 \div 6$
b) $35 \div 8$

a) $42 \div 6$
b) $72 \div 9$
c) $81 \div 9$

a) $58 \div 4$
b) $67 \div 5$

a) $96 \div 3$
b) $248 \div 4$

a) $735 \div 5$
b) $2 864 \div 4$

Write with remainder and as a mixed numeral:
a) $22 \div 5$
b) $31 \div 6$
c) $45 \div 8$
Use mental strategies:
a) $54 \div 6$
b) $72 \div 8$
c) $90 \div 9$
Use mental strategies with remainders:
a) $64 \div 6$
b) $77 \div 8$
c) $95 \div 7$
Use short division:
a) $84 \div 7$
b) $156 \div 4$
c) $245 \div 5$
Use short division:
a) $672 \div 6$
b) $3 248 \div 4$
c) $4 515 \div 5$
Divide:
a) $936 \div 3$
b) $2 864 \div 8$
c) $5 425 \div 5$

$47$ students are placed into groups of $5$ . How many groups and how many left over?
A teacher shares $136$ pencils equally among $4$ classes. How many pencils per class?
A farmer packs $365$ eggs into cartons of $6$ . How many full cartons and how many eggs remain?
A library divides $2 484$ books equally onto $6$ shelves. How many per shelf?
A factory produces $735$ items and packs them into boxes of $5$ . How many boxes?

Students may write the remainder larger than the divisor
Students may confuse the remainder with a decimal rather than a fraction
Students may place the remainder incorrectly when writing a mixed numeral
Students may divide each digit separately without considering place value
Students may forget to carry the remainder to the next place value in short division
Students may not check answers using multiplication