Evaluate
\frac{1247}{92}\approx 13.554347826
Factor
\frac{29 \cdot 43}{2 ^ {2} \cdot 23} = 13\frac{51}{92} = 13.554347826086957
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\begin{array}{l}\phantom{92)}\phantom{1}\\92\overline{)1247}\\\end{array}
Use the 1^{st} digit 1 from dividend 1247
\begin{array}{l}\phantom{92)}0\phantom{2}\\92\overline{)1247}\\\end{array}
Since 1 is less than 92, use the next digit 2 from dividend 1247 and add 0 to the quotient
\begin{array}{l}\phantom{92)}0\phantom{3}\\92\overline{)1247}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1247
\begin{array}{l}\phantom{92)}00\phantom{4}\\92\overline{)1247}\\\end{array}
Since 12 is less than 92, use the next digit 4 from dividend 1247 and add 0 to the quotient
\begin{array}{l}\phantom{92)}00\phantom{5}\\92\overline{)1247}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1247
\begin{array}{l}\phantom{92)}001\phantom{6}\\92\overline{)1247}\\\phantom{92)}\underline{\phantom{9}92\phantom{9}}\\\phantom{92)9}32\\\end{array}
Find closest multiple of 92 to 124. We see that 1 \times 92 = 92 is the nearest. Now subtract 92 from 124 to get reminder 32. Add 1 to quotient.
\begin{array}{l}\phantom{92)}001\phantom{7}\\92\overline{)1247}\\\phantom{92)}\underline{\phantom{9}92\phantom{9}}\\\phantom{92)9}327\\\end{array}
Use the 4^{th} digit 7 from dividend 1247
\begin{array}{l}\phantom{92)}0013\phantom{8}\\92\overline{)1247}\\\phantom{92)}\underline{\phantom{9}92\phantom{9}}\\\phantom{92)9}327\\\phantom{92)}\underline{\phantom{9}276\phantom{}}\\\phantom{92)99}51\\\end{array}
Find closest multiple of 92 to 327. We see that 3 \times 92 = 276 is the nearest. Now subtract 276 from 327 to get reminder 51. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }51
Since 51 is less than 92, stop the division. The reminder is 51. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}