Solve 460/60

$$\frac { 460 } { 60 }$$

Evaluate

$$\frac{23}{3}\approx 7.666666667$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)460}\\\end{array}$$

Since 4 is less than 60, use the next digit 6 from dividend 460 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)460}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)460}\\\end{array}$$

Since 46 is less than 60, use the next digit 0 from dividend 460 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)460}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)460}\\\end{array}$$

Find closest multiple of 60 to 460. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 460 to get reminder 40. Add 7 to quotient.

$$\begin{array}{l}\phantom{60)}007\phantom{6}\\60\overline{)460}\\\phantom{60)}\underline{\phantom{}420\phantom{}}\\\phantom{60)9}40\\\end{array}$$

Since 40 is less than 60, stop the division. The reminder is 40. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }40$$

Factor

$$\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667$$