Evaluate
\frac{8905}{112}\approx 79.508928571
Factor
\frac{5 \cdot 13 \cdot 137}{2 ^ {4} \cdot 7} = 79\frac{57}{112} = 79.50892857142857
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\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)8905}\\\end{array}
Use the 1^{st} digit 8 from dividend 8905
\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)8905}\\\end{array}
Since 8 is less than 112, use the next digit 9 from dividend 8905 and add 0 to the quotient
\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)8905}\\\end{array}
Use the 2^{nd} digit 9 from dividend 8905
\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)8905}\\\end{array}
Since 89 is less than 112, use the next digit 0 from dividend 8905 and add 0 to the quotient
\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)8905}\\\end{array}
Use the 3^{rd} digit 0 from dividend 8905
\begin{array}{l}\phantom{112)}007\phantom{6}\\112\overline{)8905}\\\phantom{112)}\underline{\phantom{}784\phantom{9}}\\\phantom{112)}106\\\end{array}
Find closest multiple of 112 to 890. We see that 7 \times 112 = 784 is the nearest. Now subtract 784 from 890 to get reminder 106. Add 7 to quotient.
\begin{array}{l}\phantom{112)}007\phantom{7}\\112\overline{)8905}\\\phantom{112)}\underline{\phantom{}784\phantom{9}}\\\phantom{112)}1065\\\end{array}
Use the 4^{th} digit 5 from dividend 8905
\begin{array}{l}\phantom{112)}0079\phantom{8}\\112\overline{)8905}\\\phantom{112)}\underline{\phantom{}784\phantom{9}}\\\phantom{112)}1065\\\phantom{112)}\underline{\phantom{}1008\phantom{}}\\\phantom{112)99}57\\\end{array}
Find closest multiple of 112 to 1065. We see that 9 \times 112 = 1008 is the nearest. Now subtract 1008 from 1065 to get reminder 57. Add 9 to quotient.
\text{Quotient: }79 \text{Reminder: }57
Since 57 is less than 112, stop the division. The reminder is 57. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.
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}