Solve 16000div24

$$16000 \div 24$$

Evaluate

$$\frac{2000}{3}\approx 666.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16000

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)16000}\\\end{array}$$

Since 1 is less than 24, use the next digit 6 from dividend 16000 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)16000}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16000

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)16000}\\\end{array}$$

Since 16 is less than 24, use the next digit 0 from dividend 16000 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)16000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 16000

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)16000}\\\end{array}$$

Find closest multiple of 24 to 160. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 160 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}006\phantom{6}\\24\overline{)16000}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}16\\\end{array}$$

Use the 4^{th} digit 0 from dividend 16000

$$\begin{array}{l}\phantom{24)}006\phantom{7}\\24\overline{)16000}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}160\\\end{array}$$

Find closest multiple of 24 to 160. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 160 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}0066\phantom{8}\\24\overline{)16000}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}160\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)99}16\\\end{array}$$

Use the 5^{th} digit 0 from dividend 16000

$$\begin{array}{l}\phantom{24)}0066\phantom{9}\\24\overline{)16000}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}160\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)99}160\\\end{array}$$

Find closest multiple of 24 to 160. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 160 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}00666\phantom{10}\\24\overline{)16000}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}160\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)99}160\\\phantom{24)}\underline{\phantom{99}144\phantom{}}\\\phantom{24)999}16\\\end{array}$$

Since 16 is less than 24, stop the division. The reminder is 16. The topmost line 00666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 666.

$$\text{Quotient: }666 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3} = 666\frac{2}{3} = 666.6666666666666$$