Solve 485\div78 | Equatix

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Question

$$485 \div 78$$

Evaluate

$\frac{485}{78}\approx 6.217948718$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $485$

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)485}\\\end{array}$$

Since $4$ is less than $78$, use the next digit $8$ from dividend $485$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)485}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $485$

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)485}\\\end{array}$$

Since $48$ is less than $78$, use the next digit $5$ from dividend $485$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)485}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $485$

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)485}\\\end{array}$$

Find closest multiple of $78$ to $485$. We see that $6 \times 78 = 468$ is the nearest. Now subtract $468$ from $485$ to get reminder $17$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{78)}006\phantom{6}\\78\overline{)485}\\\phantom{78)}\underline{\phantom{}468\phantom{}}\\\phantom{78)9}17\\\end{array}$$

Since $17$ is less than $78$, stop the division. The reminder is $17$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }17$$

Show Solution

Factor

$\frac{5 \cdot 97}{2 \cdot 3 \cdot 13} = 6\frac{17}{78} = 6.217948717948718$