Solve 434/318

$$\frac { 434 } { 318 }$$

Evaluate

$$\frac{217}{159}\approx 1.364779874$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 434

$$\begin{array}{l}\phantom{318)}\phantom{1}\\318\overline{)434}\\\end{array}$$

Since 4 is less than 318, use the next digit 3 from dividend 434 and add 0 to the quotient

$$\begin{array}{l}\phantom{318)}0\phantom{2}\\318\overline{)434}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 434

$$\begin{array}{l}\phantom{318)}0\phantom{3}\\318\overline{)434}\\\end{array}$$

Since 43 is less than 318, use the next digit 4 from dividend 434 and add 0 to the quotient

$$\begin{array}{l}\phantom{318)}00\phantom{4}\\318\overline{)434}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 434

$$\begin{array}{l}\phantom{318)}00\phantom{5}\\318\overline{)434}\\\end{array}$$

Find closest multiple of 318 to 434. We see that 1 \times 318 = 318 is the nearest. Now subtract 318 from 434 to get reminder 116. Add 1 to quotient.

$$\begin{array}{l}\phantom{318)}001\phantom{6}\\318\overline{)434}\\\phantom{318)}\underline{\phantom{}318\phantom{}}\\\phantom{318)}116\\\end{array}$$

Since 116 is less than 318, stop the division. The reminder is 116. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }116$$

Factor

$$\frac{7 \cdot 31}{3 \cdot 53} = 1\frac{58}{159} = 1.3647798742138364$$