Evaluate
\frac{587}{80}=7.3375
Factor
\frac{587}{2 ^ {4} \cdot 5} = 7\frac{27}{80} = 7.3375
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\begin{array}{l}\phantom{160)}\phantom{1}\\160\overline{)1174}\\\end{array}
Use the 1^{st} digit 1 from dividend 1174
\begin{array}{l}\phantom{160)}0\phantom{2}\\160\overline{)1174}\\\end{array}
Since 1 is less than 160, use the next digit 1 from dividend 1174 and add 0 to the quotient
\begin{array}{l}\phantom{160)}0\phantom{3}\\160\overline{)1174}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1174
\begin{array}{l}\phantom{160)}00\phantom{4}\\160\overline{)1174}\\\end{array}
Since 11 is less than 160, use the next digit 7 from dividend 1174 and add 0 to the quotient
\begin{array}{l}\phantom{160)}00\phantom{5}\\160\overline{)1174}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1174
\begin{array}{l}\phantom{160)}000\phantom{6}\\160\overline{)1174}\\\end{array}
Since 117 is less than 160, use the next digit 4 from dividend 1174 and add 0 to the quotient
\begin{array}{l}\phantom{160)}000\phantom{7}\\160\overline{)1174}\\\end{array}
Use the 4^{th} digit 4 from dividend 1174
\begin{array}{l}\phantom{160)}0007\phantom{8}\\160\overline{)1174}\\\phantom{160)}\underline{\phantom{}1120\phantom{}}\\\phantom{160)99}54\\\end{array}
Find closest multiple of 160 to 1174. We see that 7 \times 160 = 1120 is the nearest. Now subtract 1120 from 1174 to get reminder 54. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }54
Since 54 is less than 160, stop the division. The reminder is 54. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}