Solve 8675\div15 | Equatix

Question

$$8675 \div 15$$

Evaluate

$\frac{1735}{3}\approx 578.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8675$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)8675}\\\end{array}$$

Since $8$ is less than $15$, use the next digit $6$ from dividend $8675$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)8675}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $8675$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)8675}\\\end{array}$$

Find closest multiple of $15$ to $86$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $86$ to get reminder $11$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)8675}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}11\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $8675$

$$\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)8675}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}117\\\end{array}$$

Find closest multiple of $15$ to $117$. We see that $7 \times 15 = 105$ is the nearest. Now subtract $105$ from $117$ to get reminder $12$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{15)}057\phantom{6}\\15\overline{)8675}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}117\\\phantom{15)}\underline{\phantom{}105\phantom{9}}\\\phantom{15)9}12\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $8675$

$$\begin{array}{l}\phantom{15)}057\phantom{7}\\15\overline{)8675}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}117\\\phantom{15)}\underline{\phantom{}105\phantom{9}}\\\phantom{15)9}125\\\end{array}$$

Find closest multiple of $15$ to $125$. We see that $8 \times 15 = 120$ is the nearest. Now subtract $120$ from $125$ to get reminder $5$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{15)}0578\phantom{8}\\15\overline{)8675}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}117\\\phantom{15)}\underline{\phantom{}105\phantom{9}}\\\phantom{15)9}125\\\phantom{15)}\underline{\phantom{9}120\phantom{}}\\\phantom{15)999}5\\\end{array}$$

Since $5$ is less than $15$, stop the division. The reminder is $5$. The topmost line $0578$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $578$.

$$\text{Quotient: }578$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{5 \cdot 347}{3} = 578\frac{1}{3} = 578.3333333333334$

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Steps For Long Division Method

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