Evaluate
1106
Factor
2\times 7\times 79
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)51982}\\\end{array}
Use the 1^{st} digit 5 from dividend 51982
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)51982}\\\end{array}
Since 5 is less than 47, use the next digit 1 from dividend 51982 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)51982}\\\end{array}
Use the 2^{nd} digit 1 from dividend 51982
\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}4\\\end{array}
Find closest multiple of 47 to 51. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 51 to get reminder 4. Add 1 to quotient.
\begin{array}{l}\phantom{47)}01\phantom{5}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\end{array}
Use the 3^{rd} digit 9 from dividend 51982
\begin{array}{l}\phantom{47)}011\phantom{6}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\phantom{47)}\underline{\phantom{9}47\phantom{99}}\\\phantom{47)99}2\\\end{array}
Find closest multiple of 47 to 49. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 49 to get reminder 2. Add 1 to quotient.
\begin{array}{l}\phantom{47)}011\phantom{7}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\phantom{47)}\underline{\phantom{9}47\phantom{99}}\\\phantom{47)99}28\\\end{array}
Use the 4^{th} digit 8 from dividend 51982
\begin{array}{l}\phantom{47)}0110\phantom{8}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\phantom{47)}\underline{\phantom{9}47\phantom{99}}\\\phantom{47)99}28\\\end{array}
Since 28 is less than 47, use the next digit 2 from dividend 51982 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0110\phantom{9}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\phantom{47)}\underline{\phantom{9}47\phantom{99}}\\\phantom{47)99}282\\\end{array}
Use the 5^{th} digit 2 from dividend 51982
\begin{array}{l}\phantom{47)}01106\phantom{10}\\47\overline{)51982}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)9}49\\\phantom{47)}\underline{\phantom{9}47\phantom{99}}\\\phantom{47)99}282\\\phantom{47)}\underline{\phantom{99}282\phantom{}}\\\phantom{47)99999}0\\\end{array}
Find closest multiple of 47 to 282. We see that 6 \times 47 = 282 is the nearest. Now subtract 282 from 282 to get reminder 0. Add 6 to quotient.
\text{Quotient: }1106 \text{Reminder: }0
Since 0 is less than 47, stop the division. The reminder is 0. The topmost line 01106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1106.
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}