Evaluate
\frac{125}{4}=31.25
Factor
\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)750}\\\end{array}
Use the 1^{st} digit 7 from dividend 750
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)750}\\\end{array}
Since 7 is less than 24, use the next digit 5 from dividend 750 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)750}\\\end{array}
Use the 2^{nd} digit 5 from dividend 750
\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)750}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)9}3\\\end{array}
Find closest multiple of 24 to 75. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)750}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)9}30\\\end{array}
Use the 3^{rd} digit 0 from dividend 750
\begin{array}{l}\phantom{24)}031\phantom{6}\\24\overline{)750}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)9}30\\\phantom{24)}\underline{\phantom{9}24\phantom{}}\\\phantom{24)99}6\\\end{array}
Find closest multiple of 24 to 30. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }6
Since 6 is less than 24, stop the division. The reminder is 6. The topmost line 031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}