Solve 2896/60

$$\frac { 2896 } { 60 }$$

Evaluate

$$\frac{724}{15}\approx 48.266666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2896

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)2896}\\\end{array}$$

Since 2 is less than 60, use the next digit 8 from dividend 2896 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)2896}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2896

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)2896}\\\end{array}$$

Since 28 is less than 60, use the next digit 9 from dividend 2896 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)2896}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 2896

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)2896}\\\end{array}$$

Find closest multiple of 60 to 289. We see that 4 \times 60 = 240 is the nearest. Now subtract 240 from 289 to get reminder 49. Add 4 to quotient.

$$\begin{array}{l}\phantom{60)}004\phantom{6}\\60\overline{)2896}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}49\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2896

$$\begin{array}{l}\phantom{60)}004\phantom{7}\\60\overline{)2896}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}496\\\end{array}$$

Find closest multiple of 60 to 496. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 496 to get reminder 16. Add 8 to quotient.

$$\begin{array}{l}\phantom{60)}0048\phantom{8}\\60\overline{)2896}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}496\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)99}16\\\end{array}$$

Since 16 is less than 60, stop the division. The reminder is 16. The topmost line 0048 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48.

$$\text{Quotient: }48 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {2} \cdot 181}{3 \cdot 5} = 48\frac{4}{15} = 48.266666666666666$$