Solve 460/30=

$$460 / 30 =$$

Evaluate

$$\frac{46}{3}\approx 15.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 460

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)460}\\\end{array}$$

Since 4 is less than 30, use the next digit 6 from dividend 460 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)460}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 460

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)460}\\\end{array}$$

Find closest multiple of 30 to 46. We see that 1 \times 30 = 30 is the nearest. Now subtract 30 from 46 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)460}\\\phantom{30)}\underline{\phantom{}30\phantom{9}}\\\phantom{30)}16\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 460

$$\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)460}\\\phantom{30)}\underline{\phantom{}30\phantom{9}}\\\phantom{30)}160\\\end{array}$$

Find closest multiple of 30 to 160. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 160 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}015\phantom{6}\\30\overline{)460}\\\phantom{30)}\underline{\phantom{}30\phantom{9}}\\\phantom{30)}160\\\phantom{30)}\underline{\phantom{}150\phantom{}}\\\phantom{30)9}10\\\end{array}$$

Since 10 is less than 30, stop the division. The reminder is 10. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }10$$

Factor

$$\frac{2 \cdot 23}{3} = 15\frac{1}{3} = 15.333333333333334$$