Solve 426/303

$$\frac { 426 } { 303 }$$

Evaluate

$$\frac{142}{101}\approx 1.405940594$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 426

$$\begin{array}{l}\phantom{303)}\phantom{1}\\303\overline{)426}\\\end{array}$$

Since 4 is less than 303, use the next digit 2 from dividend 426 and add 0 to the quotient

$$\begin{array}{l}\phantom{303)}0\phantom{2}\\303\overline{)426}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 426

$$\begin{array}{l}\phantom{303)}0\phantom{3}\\303\overline{)426}\\\end{array}$$

Since 42 is less than 303, use the next digit 6 from dividend 426 and add 0 to the quotient

$$\begin{array}{l}\phantom{303)}00\phantom{4}\\303\overline{)426}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 426

$$\begin{array}{l}\phantom{303)}00\phantom{5}\\303\overline{)426}\\\end{array}$$

Find closest multiple of 303 to 426. We see that 1 \times 303 = 303 is the nearest. Now subtract 303 from 426 to get reminder 123. Add 1 to quotient.

$$\begin{array}{l}\phantom{303)}001\phantom{6}\\303\overline{)426}\\\phantom{303)}\underline{\phantom{}303\phantom{}}\\\phantom{303)}123\\\end{array}$$

Since 123 is less than 303, stop the division. The reminder is 123. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }123$$

Factor

$$\frac{2 \cdot 71}{101} = 1\frac{41}{101} = 1.4059405940594059$$