Solve 556/226

$$\frac { 556 } { 226 }$$

Evaluate

$$\frac{278}{113}\approx 2.460176991$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 556

$$\begin{array}{l}\phantom{226)}\phantom{1}\\226\overline{)556}\\\end{array}$$

Since 5 is less than 226, use the next digit 5 from dividend 556 and add 0 to the quotient

$$\begin{array}{l}\phantom{226)}0\phantom{2}\\226\overline{)556}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 556

$$\begin{array}{l}\phantom{226)}0\phantom{3}\\226\overline{)556}\\\end{array}$$

Since 55 is less than 226, use the next digit 6 from dividend 556 and add 0 to the quotient

$$\begin{array}{l}\phantom{226)}00\phantom{4}\\226\overline{)556}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 556

$$\begin{array}{l}\phantom{226)}00\phantom{5}\\226\overline{)556}\\\end{array}$$

Find closest multiple of 226 to 556. We see that 2 \times 226 = 452 is the nearest. Now subtract 452 from 556 to get reminder 104. Add 2 to quotient.

$$\begin{array}{l}\phantom{226)}002\phantom{6}\\226\overline{)556}\\\phantom{226)}\underline{\phantom{}452\phantom{}}\\\phantom{226)}104\\\end{array}$$

Since 104 is less than 226, stop the division. The reminder is 104. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }104$$

Factor

$$\frac{2 \cdot 139}{113} = 2\frac{52}{113} = 2.4601769911504423$$