Solve 615/225

$$\frac { 615 } { 225 }$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 615

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)615}\\\end{array}$$

Since 6 is less than 225, use the next digit 1 from dividend 615 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)615}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 615

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)615}\\\end{array}$$

Since 61 is less than 225, use the next digit 5 from dividend 615 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)615}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 615

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)615}\\\end{array}$$

Find closest multiple of 225 to 615. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 615 to get reminder 165. Add 2 to quotient.

$$\begin{array}{l}\phantom{225)}002\phantom{6}\\225\overline{)615}\\\phantom{225)}\underline{\phantom{}450\phantom{}}\\\phantom{225)}165\\\end{array}$$

Since 165 is less than 225, stop the division. The reminder is 165. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }165$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$