Evaluate
\frac{47}{40}=1.175
Factor
\frac{47}{2 ^ {3} \cdot 5} = 1\frac{7}{40} = 1.175
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)1175}\\\end{array}
Use the 1^{st} digit 1 from dividend 1175
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)1175}\\\end{array}
Since 1 is less than 1000, use the next digit 1 from dividend 1175 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)1175}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1175
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)1175}\\\end{array}
Since 11 is less than 1000, use the next digit 7 from dividend 1175 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)1175}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1175
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)1175}\\\end{array}
Since 117 is less than 1000, use the next digit 5 from dividend 1175 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)1175}\\\end{array}
Use the 4^{th} digit 5 from dividend 1175
\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)1175}\\\phantom{1000)}\underline{\phantom{}1000\phantom{}}\\\phantom{1000)9}175\\\end{array}
Find closest multiple of 1000 to 1175. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1175 to get reminder 175. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }175
Since 175 is less than 1000, stop the division. The reminder is 175. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}