Evaluate
\frac{74}{3}\approx 24.666666667
Factor
\frac{2 \cdot 37}{3} = 24\frac{2}{3} = 24.666666666666668
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)370}\\\end{array}
Use the 1^{st} digit 3 from dividend 370
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)370}\\\end{array}
Since 3 is less than 15, use the next digit 7 from dividend 370 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)370}\\\end{array}
Use the 2^{nd} digit 7 from dividend 370
\begin{array}{l}\phantom{15)}02\phantom{4}\\15\overline{)370}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)9}7\\\end{array}
Find closest multiple of 15 to 37. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 37 to get reminder 7. Add 2 to quotient.
\begin{array}{l}\phantom{15)}02\phantom{5}\\15\overline{)370}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)9}70\\\end{array}
Use the 3^{rd} digit 0 from dividend 370
\begin{array}{l}\phantom{15)}024\phantom{6}\\15\overline{)370}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)9}70\\\phantom{15)}\underline{\phantom{9}60\phantom{}}\\\phantom{15)9}10\\\end{array}
Find closest multiple of 15 to 70. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 70 to get reminder 10. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }10
Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}