Solve 2700/49

$$\frac { 2700 } { 49 }$$

Evaluate

$$\frac{2700}{49}\approx 55.102040816$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2700

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)2700}\\\end{array}$$

Since 2 is less than 49, use the next digit 7 from dividend 2700 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)2700}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2700

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)2700}\\\end{array}$$

Since 27 is less than 49, use the next digit 0 from dividend 2700 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)2700}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2700

$$\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)2700}\\\end{array}$$

Find closest multiple of 49 to 270. We see that 5 \times 49 = 245 is the nearest. Now subtract 245 from 270 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{49)}005\phantom{6}\\49\overline{)2700}\\\phantom{49)}\underline{\phantom{}245\phantom{9}}\\\phantom{49)9}25\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2700

$$\begin{array}{l}\phantom{49)}005\phantom{7}\\49\overline{)2700}\\\phantom{49)}\underline{\phantom{}245\phantom{9}}\\\phantom{49)9}250\\\end{array}$$

Find closest multiple of 49 to 250. We see that 5 \times 49 = 245 is the nearest. Now subtract 245 from 250 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{49)}0055\phantom{8}\\49\overline{)2700}\\\phantom{49)}\underline{\phantom{}245\phantom{9}}\\\phantom{49)9}250\\\phantom{49)}\underline{\phantom{9}245\phantom{}}\\\phantom{49)999}5\\\end{array}$$

Since 5 is less than 49, stop the division. The reminder is 5. The topmost line 0055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }5$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 5 ^ {2}}{7 ^ {2}} = 55\frac{5}{49} = 55.10204081632653$$