Evaluate
\frac{1127}{60}\approx 18.783333333
Factor
\frac{7 ^ {2} \cdot 23}{2 ^ {2} \cdot 3 \cdot 5} = 18\frac{47}{60} = 18.783333333333335
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1127}\\\end{array}
Use the 1^{st} digit 1 from dividend 1127
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1127}\\\end{array}
Since 1 is less than 60, use the next digit 1 from dividend 1127 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1127}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1127
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1127}\\\end{array}
Since 11 is less than 60, use the next digit 2 from dividend 1127 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1127}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1127
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1127}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}52\\\end{array}
Find closest multiple of 60 to 112. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 112 to get reminder 52. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1127}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}527\\\end{array}
Use the 4^{th} digit 7 from dividend 1127
\begin{array}{l}\phantom{60)}0018\phantom{8}\\60\overline{)1127}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}527\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)99}47\\\end{array}
Find closest multiple of 60 to 527. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 527 to get reminder 47. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }47
Since 47 is less than 60, stop the division. The reminder is 47. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}