Evaluate
\frac{898}{15}\approx 59.866666667
Factor
\frac{2 \cdot 449}{3 \cdot 5} = 59\frac{13}{15} = 59.86666666666667
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)3592}\\\end{array}
Use the 1^{st} digit 3 from dividend 3592
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)3592}\\\end{array}
Since 3 is less than 60, use the next digit 5 from dividend 3592 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)3592}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3592
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)3592}\\\end{array}
Since 35 is less than 60, use the next digit 9 from dividend 3592 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)3592}\\\end{array}
Use the 3^{rd} digit 9 from dividend 3592
\begin{array}{l}\phantom{60)}005\phantom{6}\\60\overline{)3592}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}59\\\end{array}
Find closest multiple of 60 to 359. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 359 to get reminder 59. Add 5 to quotient.
\begin{array}{l}\phantom{60)}005\phantom{7}\\60\overline{)3592}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}592\\\end{array}
Use the 4^{th} digit 2 from dividend 3592
\begin{array}{l}\phantom{60)}0059\phantom{8}\\60\overline{)3592}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}592\\\phantom{60)}\underline{\phantom{9}540\phantom{}}\\\phantom{60)99}52\\\end{array}
Find closest multiple of 60 to 592. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 592 to get reminder 52. Add 9 to quotient.
\text{Quotient: }59 \text{Reminder: }52
Since 52 is less than 60, stop the division. The reminder is 52. The topmost line 0059 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 59.
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}