Solve 113/41

$$\frac { 113 } { 41 }$$

Evaluate

$$\frac{113}{41}\approx 2.756097561$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 113

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)113}\\\end{array}$$

Since 1 is less than 41, use the next digit 1 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)113}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 113

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)113}\\\end{array}$$

Since 11 is less than 41, use the next digit 3 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)113}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 113

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)113}\\\end{array}$$

Find closest multiple of 41 to 113. We see that 2 \times 41 = 82 is the nearest. Now subtract 82 from 113 to get reminder 31. Add 2 to quotient.

$$\begin{array}{l}\phantom{41)}002\phantom{6}\\41\overline{)113}\\\phantom{41)}\underline{\phantom{9}82\phantom{}}\\\phantom{41)9}31\\\end{array}$$

Since 31 is less than 41, stop the division. The reminder is 31. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }31$$

Factor

$$\frac{113}{41} = 2\frac{31}{41} = 2.7560975609756095$$