Evaluate
\frac{173}{56}\approx 3.089285714
Factor
\frac{173}{2 ^ {3} \cdot 7} = 3\frac{5}{56} = 3.0892857142857144
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)173}\\\end{array}
Use the 1^{st} digit 1 from dividend 173
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)173}\\\end{array}
Since 1 is less than 56, use the next digit 7 from dividend 173 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)173}\\\end{array}
Use the 2^{nd} digit 7 from dividend 173
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)173}\\\end{array}
Since 17 is less than 56, use the next digit 3 from dividend 173 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)173}\\\end{array}
Use the 3^{rd} digit 3 from dividend 173
\begin{array}{l}\phantom{56)}003\phantom{6}\\56\overline{)173}\\\phantom{56)}\underline{\phantom{}168\phantom{}}\\\phantom{56)99}5\\\end{array}
Find closest multiple of 56 to 173. We see that 3 \times 56 = 168 is the nearest. Now subtract 168 from 173 to get reminder 5. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }5
Since 5 is less than 56, stop the division. The reminder is 5. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}