Evaluate
\frac{1173}{43}\approx 27.279069767
Factor
\frac{3 \cdot 17 \cdot 23}{43} = 27\frac{12}{43} = 27.27906976744186
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\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)1173}\\\end{array}
Use the 1^{st} digit 1 from dividend 1173
\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)1173}\\\end{array}
Since 1 is less than 43, use the next digit 1 from dividend 1173 and add 0 to the quotient
\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)1173}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1173
\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)1173}\\\end{array}
Since 11 is less than 43, use the next digit 7 from dividend 1173 and add 0 to the quotient
\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)1173}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1173
\begin{array}{l}\phantom{43)}002\phantom{6}\\43\overline{)1173}\\\phantom{43)}\underline{\phantom{9}86\phantom{9}}\\\phantom{43)9}31\\\end{array}
Find closest multiple of 43 to 117. We see that 2 \times 43 = 86 is the nearest. Now subtract 86 from 117 to get reminder 31. Add 2 to quotient.
\begin{array}{l}\phantom{43)}002\phantom{7}\\43\overline{)1173}\\\phantom{43)}\underline{\phantom{9}86\phantom{9}}\\\phantom{43)9}313\\\end{array}
Use the 4^{th} digit 3 from dividend 1173
\begin{array}{l}\phantom{43)}0027\phantom{8}\\43\overline{)1173}\\\phantom{43)}\underline{\phantom{9}86\phantom{9}}\\\phantom{43)9}313\\\phantom{43)}\underline{\phantom{9}301\phantom{}}\\\phantom{43)99}12\\\end{array}
Find closest multiple of 43 to 313. We see that 7 \times 43 = 301 is the nearest. Now subtract 301 from 313 to get reminder 12. Add 7 to quotient.
\text{Quotient: }27 \text{Reminder: }12
Since 12 is less than 43, stop the division. The reminder is 12. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.
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}