Evaluate
\frac{148}{5}=29.6
Factor
\frac{2 ^ {2} \cdot 37}{5} = 29\frac{3}{5} = 29.6
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1776}\\\end{array}
Use the 1^{st} digit 1 from dividend 1776
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1776}\\\end{array}
Since 1 is less than 60, use the next digit 7 from dividend 1776 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1776}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1776
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1776}\\\end{array}
Since 17 is less than 60, use the next digit 7 from dividend 1776 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1776}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1776
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1776}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}57\\\end{array}
Find closest multiple of 60 to 177. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 177 to get reminder 57. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1776}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}576\\\end{array}
Use the 4^{th} digit 6 from dividend 1776
\begin{array}{l}\phantom{60)}0029\phantom{8}\\60\overline{)1776}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}576\\\phantom{60)}\underline{\phantom{9}540\phantom{}}\\\phantom{60)99}36\\\end{array}
Find closest multiple of 60 to 576. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 576 to get reminder 36. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }36
Since 36 is less than 60, stop the division. The reminder is 36. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.
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}