Solve 225216\div144 | Equatix

Use the $1^{st}$ digit $2$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}\phantom{1}\\144\overline{)225216}\\\end{array}$$

Since $2$ is less than $144$, use the next digit $2$ from dividend $225216$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{144)}0\phantom{2}\\144\overline{)225216}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}0\phantom{3}\\144\overline{)225216}\\\end{array}$$

Since $22$ is less than $144$, use the next digit $5$ from dividend $225216$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{144)}00\phantom{4}\\144\overline{)225216}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}00\phantom{5}\\144\overline{)225216}\\\end{array}$$

Find closest multiple of $144$ to $225$. We see that $1 \times 144 = 144$ is the nearest. Now subtract $144$ from $225$ to get reminder $81$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{144)}001\phantom{6}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}81\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}001\phantom{7}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\end{array}$$

Find closest multiple of $144$ to $812$. We see that $5 \times 144 = 720$ is the nearest. Now subtract $720$ from $812$ to get reminder $92$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{144)}0015\phantom{8}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\phantom{144)}\underline{\phantom{9}720\phantom{99}}\\\phantom{144)99}92\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}0015\phantom{9}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\phantom{144)}\underline{\phantom{9}720\phantom{99}}\\\phantom{144)99}921\\\end{array}$$

Find closest multiple of $144$ to $921$. We see that $6 \times 144 = 864$ is the nearest. Now subtract $864$ from $921$ to get reminder $57$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{144)}00156\phantom{10}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\phantom{144)}\underline{\phantom{9}720\phantom{99}}\\\phantom{144)99}921\\\phantom{144)}\underline{\phantom{99}864\phantom{9}}\\\phantom{144)999}57\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $225216$

$$\begin{array}{l}\phantom{144)}00156\phantom{11}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\phantom{144)}\underline{\phantom{9}720\phantom{99}}\\\phantom{144)99}921\\\phantom{144)}\underline{\phantom{99}864\phantom{9}}\\\phantom{144)999}576\\\end{array}$$

Find closest multiple of $144$ to $576$. We see that $4 \times 144 = 576$ is the nearest. Now subtract $576$ from $576$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{144)}001564\phantom{12}\\144\overline{)225216}\\\phantom{144)}\underline{\phantom{}144\phantom{999}}\\\phantom{144)9}812\\\phantom{144)}\underline{\phantom{9}720\phantom{99}}\\\phantom{144)99}921\\\phantom{144)}\underline{\phantom{99}864\phantom{9}}\\\phantom{144)999}576\\\phantom{144)}\underline{\phantom{999}576\phantom{}}\\\phantom{144)999999}0\\\end{array}$$

Since $0$ is less than $144$, stop the division. The reminder is $0$. The topmost line $001564$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1564$.

$$\text{Quotient: }1564$$ $$\text{Reminder: }0$$

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