Evaluate
\frac{40759}{267}\approx 152.655430712
Factor
\frac{40759}{3 \cdot 89} = 152\frac{175}{267} = 152.65543071161048
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\begin{array}{l}\phantom{267)}\phantom{1}\\267\overline{)40759}\\\end{array}
Use the 1^{st} digit 4 from dividend 40759
\begin{array}{l}\phantom{267)}0\phantom{2}\\267\overline{)40759}\\\end{array}
Since 4 is less than 267, use the next digit 0 from dividend 40759 and add 0 to the quotient
\begin{array}{l}\phantom{267)}0\phantom{3}\\267\overline{)40759}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40759
\begin{array}{l}\phantom{267)}00\phantom{4}\\267\overline{)40759}\\\end{array}
Since 40 is less than 267, use the next digit 7 from dividend 40759 and add 0 to the quotient
\begin{array}{l}\phantom{267)}00\phantom{5}\\267\overline{)40759}\\\end{array}
Use the 3^{rd} digit 7 from dividend 40759
\begin{array}{l}\phantom{267)}001\phantom{6}\\267\overline{)40759}\\\phantom{267)}\underline{\phantom{}267\phantom{99}}\\\phantom{267)}140\\\end{array}
Find closest multiple of 267 to 407. We see that 1 \times 267 = 267 is the nearest. Now subtract 267 from 407 to get reminder 140. Add 1 to quotient.
\begin{array}{l}\phantom{267)}001\phantom{7}\\267\overline{)40759}\\\phantom{267)}\underline{\phantom{}267\phantom{99}}\\\phantom{267)}1405\\\end{array}
Use the 4^{th} digit 5 from dividend 40759
\begin{array}{l}\phantom{267)}0015\phantom{8}\\267\overline{)40759}\\\phantom{267)}\underline{\phantom{}267\phantom{99}}\\\phantom{267)}1405\\\phantom{267)}\underline{\phantom{}1335\phantom{9}}\\\phantom{267)99}70\\\end{array}
Find closest multiple of 267 to 1405. We see that 5 \times 267 = 1335 is the nearest. Now subtract 1335 from 1405 to get reminder 70. Add 5 to quotient.
\begin{array}{l}\phantom{267)}0015\phantom{9}\\267\overline{)40759}\\\phantom{267)}\underline{\phantom{}267\phantom{99}}\\\phantom{267)}1405\\\phantom{267)}\underline{\phantom{}1335\phantom{9}}\\\phantom{267)99}709\\\end{array}
Use the 5^{th} digit 9 from dividend 40759
\begin{array}{l}\phantom{267)}00152\phantom{10}\\267\overline{)40759}\\\phantom{267)}\underline{\phantom{}267\phantom{99}}\\\phantom{267)}1405\\\phantom{267)}\underline{\phantom{}1335\phantom{9}}\\\phantom{267)99}709\\\phantom{267)}\underline{\phantom{99}534\phantom{}}\\\phantom{267)99}175\\\end{array}
Find closest multiple of 267 to 709. We see that 2 \times 267 = 534 is the nearest. Now subtract 534 from 709 to get reminder 175. Add 2 to quotient.
\text{Quotient: }152 \text{Reminder: }175
Since 175 is less than 267, stop the division. The reminder is 175. The topmost line 00152 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 152.
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}