Evaluate
5
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5
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\begin{array}{l}\phantom{148)}\phantom{1}\\148\overline{)740}\\\end{array}
Use the 1^{st} digit 7 from dividend 740
\begin{array}{l}\phantom{148)}0\phantom{2}\\148\overline{)740}\\\end{array}
Since 7 is less than 148, use the next digit 4 from dividend 740 and add 0 to the quotient
\begin{array}{l}\phantom{148)}0\phantom{3}\\148\overline{)740}\\\end{array}
Use the 2^{nd} digit 4 from dividend 740
\begin{array}{l}\phantom{148)}00\phantom{4}\\148\overline{)740}\\\end{array}
Since 74 is less than 148, use the next digit 0 from dividend 740 and add 0 to the quotient
\begin{array}{l}\phantom{148)}00\phantom{5}\\148\overline{)740}\\\end{array}
Use the 3^{rd} digit 0 from dividend 740
\begin{array}{l}\phantom{148)}005\phantom{6}\\148\overline{)740}\\\phantom{148)}\underline{\phantom{}740\phantom{}}\\\phantom{148)999}0\\\end{array}
Find closest multiple of 148 to 740. We see that 5 \times 148 = 740 is the nearest. Now subtract 740 from 740 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 148, stop the division. The reminder is 0. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}