Solve 5599\div12 | Equatix

Question

$$5599 \div 12$$

Evaluate

$\frac{5599}{12}\approx 466.583333333$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5599$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)5599}\\\end{array}$$

Since $5$ is less than $12$, use the next digit $5$ from dividend $5599$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)5599}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $5599$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)5599}\\\end{array}$$

Find closest multiple of $12$ to $55$. We see that $4 \times 12 = 48$ is the nearest. Now subtract $48$ from $55$ to get reminder $7$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)5599}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}7\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $5599$

$$\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)5599}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}79\\\end{array}$$

Find closest multiple of $12$ to $79$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $79$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}046\phantom{6}\\12\overline{)5599}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}7\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $5599$

$$\begin{array}{l}\phantom{12)}046\phantom{7}\\12\overline{)5599}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}79\\\end{array}$$

Find closest multiple of $12$ to $79$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $79$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}0466\phantom{8}\\12\overline{)5599}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}79\\\phantom{12)}\underline{\phantom{99}72\phantom{}}\\\phantom{12)999}7\\\end{array}$$

Since $7$ is less than $12$, stop the division. The reminder is $7$. The topmost line $0466$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $466$.

$$\text{Quotient: }466$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{11 \cdot 509}{2 ^ {2} \cdot 3} = 466\frac{7}{12} = 466.5833333333333$

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Steps For Long Division Method

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