Solve 29784\div26 | Equatix

Question

$$29784 \div 26$$

Evaluate

$\frac{14892}{13}\approx 1145.538461538$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $29784$

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)29784}\\\end{array}$$

Since $2$ is less than $26$, use the next digit $9$ from dividend $29784$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)29784}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $29784$

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)29784}\\\end{array}$$

Find closest multiple of $26$ to $29$. We see that $1 \times 26 = 26$ is the nearest. Now subtract $26$ from $29$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}3\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $29784$

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\end{array}$$

Find closest multiple of $26$ to $37$. We see that $1 \times 26 = 26$ is the nearest. Now subtract $26$ from $37$ to get reminder $11$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{26)}011\phantom{6}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}11\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $29784$

$$\begin{array}{l}\phantom{26)}011\phantom{7}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}118\\\end{array}$$

Find closest multiple of $26$ to $118$. We see that $4 \times 26 = 104$ is the nearest. Now subtract $104$ from $118$ to get reminder $14$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{26)}0114\phantom{8}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}118\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}14\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $29784$

$$\begin{array}{l}\phantom{26)}0114\phantom{9}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}118\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}144\\\end{array}$$

Find closest multiple of $26$ to $144$. We see that $5 \times 26 = 130$ is the nearest. Now subtract $130$ from $144$ to get reminder $14$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{26)}01145\phantom{10}\\26\overline{)29784}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}37\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}118\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}144\\\phantom{26)}\underline{\phantom{99}130\phantom{}}\\\phantom{26)999}14\\\end{array}$$

Since $14$ is less than $26$, stop the division. The reminder is $14$. The topmost line $01145$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1145$.

$$\text{Quotient: }1145$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 17 \cdot 73}{13} = 1145\frac{7}{13} = 1145.5384615384614$

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Steps For Long Division Method

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