Solve 755/222

$$\frac{ 755 }{ 222 }$$

Evaluate

$$\frac{755}{222}\approx 3.400900901$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 755

$$\begin{array}{l}\phantom{222)}\phantom{1}\\222\overline{)755}\\\end{array}$$

Since 7 is less than 222, use the next digit 5 from dividend 755 and add 0 to the quotient

$$\begin{array}{l}\phantom{222)}0\phantom{2}\\222\overline{)755}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 755

$$\begin{array}{l}\phantom{222)}0\phantom{3}\\222\overline{)755}\\\end{array}$$

Since 75 is less than 222, use the next digit 5 from dividend 755 and add 0 to the quotient

$$\begin{array}{l}\phantom{222)}00\phantom{4}\\222\overline{)755}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 755

$$\begin{array}{l}\phantom{222)}00\phantom{5}\\222\overline{)755}\\\end{array}$$

Find closest multiple of 222 to 755. We see that 3 \times 222 = 666 is the nearest. Now subtract 666 from 755 to get reminder 89. Add 3 to quotient.

$$\begin{array}{l}\phantom{222)}003\phantom{6}\\222\overline{)755}\\\phantom{222)}\underline{\phantom{}666\phantom{}}\\\phantom{222)9}89\\\end{array}$$

Since 89 is less than 222, stop the division. The reminder is 89. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }89$$

Factor

$$\frac{5 \cdot 151}{2 \cdot 3 \cdot 37} = 3\frac{89}{222} = 3.400900900900901$$