Solve 2760div117

$$2760 \div 117$$

Evaluate

$$\frac{920}{39}\approx 23.58974359$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2760

$$\begin{array}{l}\phantom{117)}\phantom{1}\\117\overline{)2760}\\\end{array}$$

Since 2 is less than 117, use the next digit 7 from dividend 2760 and add 0 to the quotient

$$\begin{array}{l}\phantom{117)}0\phantom{2}\\117\overline{)2760}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2760

$$\begin{array}{l}\phantom{117)}0\phantom{3}\\117\overline{)2760}\\\end{array}$$

Since 27 is less than 117, use the next digit 6 from dividend 2760 and add 0 to the quotient

$$\begin{array}{l}\phantom{117)}00\phantom{4}\\117\overline{)2760}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 2760

$$\begin{array}{l}\phantom{117)}00\phantom{5}\\117\overline{)2760}\\\end{array}$$

Find closest multiple of 117 to 276. We see that 2 \times 117 = 234 is the nearest. Now subtract 234 from 276 to get reminder 42. Add 2 to quotient.

$$\begin{array}{l}\phantom{117)}002\phantom{6}\\117\overline{)2760}\\\phantom{117)}\underline{\phantom{}234\phantom{9}}\\\phantom{117)9}42\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2760

$$\begin{array}{l}\phantom{117)}002\phantom{7}\\117\overline{)2760}\\\phantom{117)}\underline{\phantom{}234\phantom{9}}\\\phantom{117)9}420\\\end{array}$$

Find closest multiple of 117 to 420. We see that 3 \times 117 = 351 is the nearest. Now subtract 351 from 420 to get reminder 69. Add 3 to quotient.

$$\begin{array}{l}\phantom{117)}0023\phantom{8}\\117\overline{)2760}\\\phantom{117)}\underline{\phantom{}234\phantom{9}}\\\phantom{117)9}420\\\phantom{117)}\underline{\phantom{9}351\phantom{}}\\\phantom{117)99}69\\\end{array}$$

Since 69 is less than 117, stop the division. The reminder is 69. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }69$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 23}{3 \cdot 13} = 23\frac{23}{39} = 23.58974358974359$$