Solve 10000div15

$$10000 \div 15$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)10000}\\\end{array}$$

Since 1 is less than 15, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)10000}\\\end{array}$$

Since 10 is less than 15, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)10000}\\\end{array}$$

Find closest multiple of 15 to 100. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}006\phantom{6}\\15\overline{)10000}\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{15)}006\phantom{7}\\15\overline{)10000}\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)9}100\\\end{array}$$

Find closest multiple of 15 to 100. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}0066\phantom{8}\\15\overline{)10000}\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)9}100\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)99}10\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{15)}0066\phantom{9}\\15\overline{)10000}\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)9}100\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)99}100\\\end{array}$$

Find closest multiple of 15 to 100. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}00666\phantom{10}\\15\overline{)10000}\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)9}100\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)99}100\\\phantom{15)}\underline{\phantom{999}90\phantom{}}\\\phantom{15)999}10\\\end{array}$$

Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 00666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 666.

$$\text{Quotient: }666 \text{Reminder: }10$$

Factor

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