Solve 440/336

$$\frac { 440 } { 336 }$$

Evaluate

$$\frac{55}{42}\approx 1.30952381$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 440

$$\begin{array}{l}\phantom{336)}\phantom{1}\\336\overline{)440}\\\end{array}$$

Since 4 is less than 336, use the next digit 4 from dividend 440 and add 0 to the quotient

$$\begin{array}{l}\phantom{336)}0\phantom{2}\\336\overline{)440}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 440

$$\begin{array}{l}\phantom{336)}0\phantom{3}\\336\overline{)440}\\\end{array}$$

Since 44 is less than 336, use the next digit 0 from dividend 440 and add 0 to the quotient

$$\begin{array}{l}\phantom{336)}00\phantom{4}\\336\overline{)440}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 440

$$\begin{array}{l}\phantom{336)}00\phantom{5}\\336\overline{)440}\\\end{array}$$

Find closest multiple of 336 to 440. We see that 1 \times 336 = 336 is the nearest. Now subtract 336 from 440 to get reminder 104. Add 1 to quotient.

$$\begin{array}{l}\phantom{336)}001\phantom{6}\\336\overline{)440}\\\phantom{336)}\underline{\phantom{}336\phantom{}}\\\phantom{336)}104\\\end{array}$$

Since 104 is less than 336, stop the division. The reminder is 104. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }104$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 \cdot 7} = 1\frac{13}{42} = 1.3095238095238095$$