Solve 121211 \div 11 | Equatix

Use the $1^{st}$ digit $1$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)121211}\\\end{array}$$

Since $1$ is less than $11$, use the next digit $2$ from dividend $121211$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)121211}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)121211}\\\end{array}$$

Find closest multiple of $11$ to $12$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $12$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}1\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\end{array}$$

Find closest multiple of $11$ to $11$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $11$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}011\phantom{6}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}0\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}011\phantom{7}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}2\\\end{array}$$

Since $2$ is less than $11$, use the next digit $1$ from dividend $121211$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0110\phantom{8}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}2\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}0110\phantom{9}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}21\\\end{array}$$

Find closest multiple of $11$ to $21$. We see that $1 \times 11 = 11$ is the nearest. Now subtract $11$ from $21$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{11)}01101\phantom{10}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}21\\\phantom{11)}\underline{\phantom{999}11\phantom{9}}\\\phantom{11)999}10\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $121211$

$$\begin{array}{l}\phantom{11)}01101\phantom{11}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}21\\\phantom{11)}\underline{\phantom{999}11\phantom{9}}\\\phantom{11)999}101\\\end{array}$$

Find closest multiple of $11$ to $101$. We see that $9 \times 11 = 99$ is the nearest. Now subtract $99$ from $101$ to get reminder $2$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{11)}011019\phantom{12}\\11\overline{)121211}\\\phantom{11)}\underline{\phantom{}11\phantom{9999}}\\\phantom{11)9}11\\\phantom{11)}\underline{\phantom{9}11\phantom{999}}\\\phantom{11)999}21\\\phantom{11)}\underline{\phantom{999}11\phantom{9}}\\\phantom{11)999}101\\\phantom{11)}\underline{\phantom{9999}99\phantom{}}\\\phantom{11)99999}2\\\end{array}$$

Since $2$ is less than $11$, stop the division. The reminder is $2$. The topmost line $011019$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11019$.

$$\text{Quotient: }11019$$ $$\text{Reminder: }2$$

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