Solve 10000div60

$$10000 \div 60$$

Evaluate

$$\frac{500}{3}\approx 166.666666667$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)10000}\\\end{array}$$

Since 1 is less than 60, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)10000}\\\end{array}$$

Since 10 is less than 60, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)10000}\\\end{array}$$

Find closest multiple of 60 to 100. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 100 to get reminder 40. Add 1 to quotient.

$$\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)10000}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}40\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)10000}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}400\\\end{array}$$

Find closest multiple of 60 to 400. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 6 to quotient.

$$\begin{array}{l}\phantom{60)}0016\phantom{8}\\60\overline{)10000}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}400\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}40\\\end{array}$$

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

$$\begin{array}{l}\phantom{60)}0016\phantom{9}\\60\overline{)10000}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}400\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}400\\\end{array}$$

Find closest multiple of 60 to 400. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 6 to quotient.

$$\begin{array}{l}\phantom{60)}00166\phantom{10}\\60\overline{)10000}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}400\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}400\\\phantom{60)}\underline{\phantom{99}360\phantom{}}\\\phantom{60)999}40\\\end{array}$$

Since 40 is less than 60, stop the division. The reminder is 40. The topmost line 00166 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 166.

$$\text{Quotient: }166 \text{Reminder: }40$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{3} = 166\frac{2}{3} = 166.66666666666666$$