Evaluate
\frac{12377}{10}=1237.7
Factor
\frac{12377}{2 \cdot 5} = 1237\frac{7}{10} = 1237.7
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)12377}\\\end{array}
Use the 1^{st} digit 1 from dividend 12377
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)12377}\\\end{array}
Since 1 is less than 10, use the next digit 2 from dividend 12377 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)12377}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12377
\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}2\\\end{array}
Find closest multiple of 10 to 12. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 12 to get reminder 2. Add 1 to quotient.
\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\end{array}
Use the 3^{rd} digit 3 from dividend 12377
\begin{array}{l}\phantom{10)}012\phantom{6}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\phantom{10)}\underline{\phantom{9}20\phantom{99}}\\\phantom{10)99}3\\\end{array}
Find closest multiple of 10 to 23. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 23 to get reminder 3. Add 2 to quotient.
\begin{array}{l}\phantom{10)}012\phantom{7}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\phantom{10)}\underline{\phantom{9}20\phantom{99}}\\\phantom{10)99}37\\\end{array}
Use the 4^{th} digit 7 from dividend 12377
\begin{array}{l}\phantom{10)}0123\phantom{8}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\phantom{10)}\underline{\phantom{9}20\phantom{99}}\\\phantom{10)99}37\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}7\\\end{array}
Find closest multiple of 10 to 37. We see that 3 \times 10 = 30 is the nearest. Now subtract 30 from 37 to get reminder 7. Add 3 to quotient.
\begin{array}{l}\phantom{10)}0123\phantom{9}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\phantom{10)}\underline{\phantom{9}20\phantom{99}}\\\phantom{10)99}37\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}77\\\end{array}
Use the 5^{th} digit 7 from dividend 12377
\begin{array}{l}\phantom{10)}01237\phantom{10}\\10\overline{)12377}\\\phantom{10)}\underline{\phantom{}10\phantom{999}}\\\phantom{10)9}23\\\phantom{10)}\underline{\phantom{9}20\phantom{99}}\\\phantom{10)99}37\\\phantom{10)}\underline{\phantom{99}30\phantom{9}}\\\phantom{10)999}77\\\phantom{10)}\underline{\phantom{999}70\phantom{}}\\\phantom{10)9999}7\\\end{array}
Find closest multiple of 10 to 77. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 77 to get reminder 7. Add 7 to quotient.
\text{Quotient: }1237 \text{Reminder: }7
Since 7 is less than 10, stop the division. The reminder is 7. The topmost line 01237 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1237.
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}