Evaluate
\frac{337}{50}=6.74
Factor
\frac{337}{2 \cdot 5 ^ {2}} = 6\frac{37}{50} = 6.74
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)674}\\\end{array}
Use the 1^{st} digit 6 from dividend 674
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)674}\\\end{array}
Since 6 is less than 100, use the next digit 7 from dividend 674 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)674}\\\end{array}
Use the 2^{nd} digit 7 from dividend 674
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)674}\\\end{array}
Since 67 is less than 100, use the next digit 4 from dividend 674 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)674}\\\end{array}
Use the 3^{rd} digit 4 from dividend 674
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)674}\\\phantom{100)}\underline{\phantom{}600\phantom{}}\\\phantom{100)9}74\\\end{array}
Find closest multiple of 100 to 674. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 674 to get reminder 74. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }74
Since 74 is less than 100, stop the division. The reminder is 74. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}