Evaluate
\frac{740}{23}\approx 32.173913043
Factor
\frac{2 ^ {2} \cdot 5 \cdot 37}{23} = 32\frac{4}{23} = 32.17391304347826
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\begin{array}{l}\phantom{230)}\phantom{1}\\230\overline{)7400}\\\end{array}
Use the 1^{st} digit 7 from dividend 7400
\begin{array}{l}\phantom{230)}0\phantom{2}\\230\overline{)7400}\\\end{array}
Since 7 is less than 230, use the next digit 4 from dividend 7400 and add 0 to the quotient
\begin{array}{l}\phantom{230)}0\phantom{3}\\230\overline{)7400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 7400
\begin{array}{l}\phantom{230)}00\phantom{4}\\230\overline{)7400}\\\end{array}
Since 74 is less than 230, use the next digit 0 from dividend 7400 and add 0 to the quotient
\begin{array}{l}\phantom{230)}00\phantom{5}\\230\overline{)7400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7400
\begin{array}{l}\phantom{230)}003\phantom{6}\\230\overline{)7400}\\\phantom{230)}\underline{\phantom{}690\phantom{9}}\\\phantom{230)9}50\\\end{array}
Find closest multiple of 230 to 740. We see that 3 \times 230 = 690 is the nearest. Now subtract 690 from 740 to get reminder 50. Add 3 to quotient.
\begin{array}{l}\phantom{230)}003\phantom{7}\\230\overline{)7400}\\\phantom{230)}\underline{\phantom{}690\phantom{9}}\\\phantom{230)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 7400
\begin{array}{l}\phantom{230)}0032\phantom{8}\\230\overline{)7400}\\\phantom{230)}\underline{\phantom{}690\phantom{9}}\\\phantom{230)9}500\\\phantom{230)}\underline{\phantom{9}460\phantom{}}\\\phantom{230)99}40\\\end{array}
Find closest multiple of 230 to 500. We see that 2 \times 230 = 460 is the nearest. Now subtract 460 from 500 to get reminder 40. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }40
Since 40 is less than 230, stop the division. The reminder is 40. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}