Solve 8090\div14 | Equatix

Question

$$8090 \div 14$$

Evaluate

$\frac{4045}{7}\approx 577.857142857$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8090$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)8090}\\\end{array}$$

Since $8$ is less than $14$, use the next digit $0$ from dividend $8090$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)8090}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $8090$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)8090}\\\end{array}$$

Find closest multiple of $14$ to $80$. We see that $5 \times 14 = 70$ is the nearest. Now subtract $70$ from $80$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{14)}05\phantom{4}\\14\overline{)8090}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)}10\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $8090$

$$\begin{array}{l}\phantom{14)}05\phantom{5}\\14\overline{)8090}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)}109\\\end{array}$$

Find closest multiple of $14$ to $109$. We see that $7 \times 14 = 98$ is the nearest. Now subtract $98$ from $109$ to get reminder $11$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{14)}057\phantom{6}\\14\overline{)8090}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)}109\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)9}11\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $8090$

$$\begin{array}{l}\phantom{14)}057\phantom{7}\\14\overline{)8090}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)}109\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)9}110\\\end{array}$$

Find closest multiple of $14$ to $110$. We see that $7 \times 14 = 98$ is the nearest. Now subtract $98$ from $110$ to get reminder $12$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{14)}0577\phantom{8}\\14\overline{)8090}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)}109\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)9}110\\\phantom{14)}\underline{\phantom{99}98\phantom{}}\\\phantom{14)99}12\\\end{array}$$

Since $12$ is less than $14$, stop the division. The reminder is $12$. The topmost line $0577$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $577$.

$$\text{Quotient: }577$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{5 \cdot 809}{7} = 577\frac{6}{7} = 577.8571428571429$

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Steps For Long Division Method

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