Solve 350\div108 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$350 \div 108$$

Evaluate

$\frac{175}{54}\approx 3.240740741$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $350$

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)350}\\\end{array}$$

Since $3$ is less than $108$, use the next digit $5$ from dividend $350$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)350}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $350$

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)350}\\\end{array}$$

Since $35$ is less than $108$, use the next digit $0$ from dividend $350$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)350}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $350$

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)350}\\\end{array}$$

Find closest multiple of $108$ to $350$. We see that $3 \times 108 = 324$ is the nearest. Now subtract $324$ from $350$ to get reminder $26$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{108)}003\phantom{6}\\108\overline{)350}\\\phantom{108)}\underline{\phantom{}324\phantom{}}\\\phantom{108)9}26\\\end{array}$$

Since $26$ is less than $108$, stop the division. The reminder is $26$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }26$$

Show Solution

Factor

$\frac{5 ^ {2} \cdot 7}{2 \cdot 3 ^ {3}} = 3\frac{13}{54} = 3.240740740740741$