Evaluate
\frac{37}{29}\approx 1.275862069
Factor
\frac{37}{29} = 1\frac{8}{29} = 1.2758620689655173
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\begin{array}{l}\phantom{348)}\phantom{1}\\348\overline{)444}\\\end{array}
Use the 1^{st} digit 4 from dividend 444
\begin{array}{l}\phantom{348)}0\phantom{2}\\348\overline{)444}\\\end{array}
Since 4 is less than 348, use the next digit 4 from dividend 444 and add 0 to the quotient
\begin{array}{l}\phantom{348)}0\phantom{3}\\348\overline{)444}\\\end{array}
Use the 2^{nd} digit 4 from dividend 444
\begin{array}{l}\phantom{348)}00\phantom{4}\\348\overline{)444}\\\end{array}
Since 44 is less than 348, use the next digit 4 from dividend 444 and add 0 to the quotient
\begin{array}{l}\phantom{348)}00\phantom{5}\\348\overline{)444}\\\end{array}
Use the 3^{rd} digit 4 from dividend 444
\begin{array}{l}\phantom{348)}001\phantom{6}\\348\overline{)444}\\\phantom{348)}\underline{\phantom{}348\phantom{}}\\\phantom{348)9}96\\\end{array}
Find closest multiple of 348 to 444. We see that 1 \times 348 = 348 is the nearest. Now subtract 348 from 444 to get reminder 96. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }96
Since 96 is less than 348, stop the division. The reminder is 96. The topmost line 001 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}