Solve 69810\div26 | Equatix

Use the $1^{st}$ digit $6$ from dividend $69810$

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)69810}\\\end{array}$$

Since $6$ is less than $26$, use the next digit $9$ from dividend $69810$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)69810}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $69810$

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)69810}\\\end{array}$$

Find closest multiple of $26$ to $69$. We see that $2 \times 26 = 52$ is the nearest. Now subtract $52$ from $69$ to get reminder $17$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{26)}02\phantom{4}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}17\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $69810$

$$\begin{array}{l}\phantom{26)}02\phantom{5}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\end{array}$$

Find closest multiple of $26$ to $178$. We see that $6 \times 26 = 156$ is the nearest. Now subtract $156$ from $178$ to get reminder $22$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{26)}026\phantom{6}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\phantom{26)}\underline{\phantom{}156\phantom{99}}\\\phantom{26)9}22\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $69810$

$$\begin{array}{l}\phantom{26)}026\phantom{7}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\phantom{26)}\underline{\phantom{}156\phantom{99}}\\\phantom{26)9}221\\\end{array}$$

Find closest multiple of $26$ to $221$. We see that $8 \times 26 = 208$ is the nearest. Now subtract $208$ from $221$ to get reminder $13$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{26)}0268\phantom{8}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\phantom{26)}\underline{\phantom{}156\phantom{99}}\\\phantom{26)9}221\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}13\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $69810$

$$\begin{array}{l}\phantom{26)}0268\phantom{9}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\phantom{26)}\underline{\phantom{}156\phantom{99}}\\\phantom{26)9}221\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}130\\\end{array}$$

Find closest multiple of $26$ to $130$. We see that $5 \times 26 = 130$ is the nearest. Now subtract $130$ from $130$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{26)}02685\phantom{10}\\26\overline{)69810}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)}178\\\phantom{26)}\underline{\phantom{}156\phantom{99}}\\\phantom{26)9}221\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}130\\\phantom{26)}\underline{\phantom{99}130\phantom{}}\\\phantom{26)99999}0\\\end{array}$$

Since $0$ is less than $26$, stop the division. The reminder is $0$. The topmost line $02685$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2685$.

$$\text{Quotient: }2685$$ $$\text{Reminder: }0$$

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