mr barton maths

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Written division – long method

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Foundational skills
Setting up long division
\[ 4836 \div 23 \rightarrow \begin{array}{r|ccccc} \phantom{23} & \phantom{0} & \phantom{0} & \phantom{0} & \phantom{0} \\ \cline{2-6} 23 & 4 & 8 & 3 & 6 \end{array} \]
Set up a long division in the correct format ready to calculate.
Estimating 2-digit into 2-digit
\[ 87 \div 23 \approx 3 \]
Work out approximately how many times a 2-digit number goes into a 2-digit number.
Estimating 2-digit into 3-digit
\[ 156 \div 34 \approx 4 \]
Work out approximately how many times a 2-digit number goes into a 3-digit number.
The division cycle
\[ 57 \div 23 = 2 \text{ r } 11 \]
Work through one complete cycle of divide-multiply-subtract-bring down.
3-digit ÷ 2-digit
Exact with 1-digit quotient
\[ 184 \div 23 = 8 \]
Divide a 3-digit number by a 2-digit number (Exact, 1-digit Q).
Exact with 2-digit quotient
\[ 575 \div 23 = 25 \]
Divide a 3-digit number by a 2-digit number (Exact, 2-digit Q).
With remainder and 1-digit quotient
\[ 200 \div 23 = 8 \text{ r } 16 \]
Divide a 3-digit number by a 2-digit number (Remainder, 1-digit Q).
With remainder and 2-digit quotient
\[ 589 \div 23 = 25 \text{ r } 14 \]
Divide a 3-digit number by a 2-digit number (Remainder, 2-digit Q).
4-digit ÷ 2-digit
Exact with 2-digit quotient
\[ 2346 \div 34 = 69 \]
Divide a 4-digit number by a 2-digit number (Exact, 2-digit Q).
Exact with 3-digit quotient
\[ 5175 \div 23 = 225 \]
Divide a 4-digit number by a 2-digit number (Exact, 3-digit Q).
With remainder and 2-digit quotient
\[ 2500 \div 34 = 73 \text{ r } 18 \]
Divide a 4-digit number by a 2-digit number (Remainder, 2-digit Q).
With remainder and 3-digit quotient
\[ 5765 \div 23 = 250 \text{ r } 15 \]
Divide a 4-digit number by a 2-digit number (Remainder, 3-digit Q).
Zeros in quotient
Zero in middle of quotient
\[ 4140 \div 23 = 180 \]
Divide where the quotient has a zero in the middle.
Zero at end of quotient
\[ 2300 \div 23 = 100 \]
Divide where the quotient ends in zero.
Special cases
Missing digit in dividend
\[ 5 \square 75 \div 23 = 225 \]
Find a missing digit in the dividend of a long division.
Missing digit in quotient
\[ 5175 \div 23 = 2 \square 5 \]
Find a missing digit in the quotient of a long division.
Missing divisor
\[ 5175 \div \square \square = 225 \]
Find the two-digit divisor in a long division.
Timer (Optional)
Question