Evaluate
\frac{595}{4}=148.75
Factor
\frac{5 \cdot 7 \cdot 17}{2 ^ {2}} = 148\frac{3}{4} = 148.75
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)8925}\\\end{array}
Use the 1^{st} digit 8 from dividend 8925
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)8925}\\\end{array}
Since 8 is less than 60, use the next digit 9 from dividend 8925 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)8925}\\\end{array}
Use the 2^{nd} digit 9 from dividend 8925
\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)8925}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}29\\\end{array}
Find closest multiple of 60 to 89. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 89 to get reminder 29. Add 1 to quotient.
\begin{array}{l}\phantom{60)}01\phantom{5}\\60\overline{)8925}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}292\\\end{array}
Use the 3^{rd} digit 2 from dividend 8925
\begin{array}{l}\phantom{60)}014\phantom{6}\\60\overline{)8925}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}292\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}52\\\end{array}
Find closest multiple of 60 to 292. We see that 4 \times 60 = 240 is the nearest. Now subtract 240 from 292 to get reminder 52. Add 4 to quotient.
\begin{array}{l}\phantom{60)}014\phantom{7}\\60\overline{)8925}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}292\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}525\\\end{array}
Use the 4^{th} digit 5 from dividend 8925
\begin{array}{l}\phantom{60)}0148\phantom{8}\\60\overline{)8925}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}292\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}525\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)99}45\\\end{array}
Find closest multiple of 60 to 525. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 525 to get reminder 45. Add 8 to quotient.
\text{Quotient: }148 \text{Reminder: }45
Since 45 is less than 60, stop the division. The reminder is 45. The topmost line 0148 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 148.
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}