Solve 10000/885

$$\frac { 10000 } { 885 }$$

Evaluate

$$\frac{2000}{177}\approx 11.299435028$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{885)}\phantom{1}\\885\overline{)10000}\\\end{array}$$

Since 1 is less than 885, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{885)}0\phantom{2}\\885\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{885)}0\phantom{3}\\885\overline{)10000}\\\end{array}$$

Since 10 is less than 885, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{885)}00\phantom{4}\\885\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{885)}00\phantom{5}\\885\overline{)10000}\\\end{array}$$

Since 100 is less than 885, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{885)}000\phantom{6}\\885\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{885)}000\phantom{7}\\885\overline{)10000}\\\end{array}$$

Find closest multiple of 885 to 1000. We see that 1 \times 885 = 885 is the nearest. Now subtract 885 from 1000 to get reminder 115. Add 1 to quotient.

$$\begin{array}{l}\phantom{885)}0001\phantom{8}\\885\overline{)10000}\\\phantom{885)}\underline{\phantom{9}885\phantom{9}}\\\phantom{885)9}115\\\end{array}$$

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

$$\begin{array}{l}\phantom{885)}0001\phantom{9}\\885\overline{)10000}\\\phantom{885)}\underline{\phantom{9}885\phantom{9}}\\\phantom{885)9}1150\\\end{array}$$

Find closest multiple of 885 to 1150. We see that 1 \times 885 = 885 is the nearest. Now subtract 885 from 1150 to get reminder 265. Add 1 to quotient.

$$\begin{array}{l}\phantom{885)}00011\phantom{10}\\885\overline{)10000}\\\phantom{885)}\underline{\phantom{9}885\phantom{9}}\\\phantom{885)9}1150\\\phantom{885)}\underline{\phantom{99}885\phantom{}}\\\phantom{885)99}265\\\end{array}$$

Since 265 is less than 885, stop the division. The reminder is 265. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }265$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3 \cdot 59} = 11\frac{53}{177} = 11.299435028248588$$