Solve 253/226

$$\frac{ 253 }{ 226 }$$

Evaluate

$$\frac{253}{226}\approx 1.119469027$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 253

$$\begin{array}{l}\phantom{226)}\phantom{1}\\226\overline{)253}\\\end{array}$$

Since 2 is less than 226, use the next digit 5 from dividend 253 and add 0 to the quotient

$$\begin{array}{l}\phantom{226)}0\phantom{2}\\226\overline{)253}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 253

$$\begin{array}{l}\phantom{226)}0\phantom{3}\\226\overline{)253}\\\end{array}$$

Since 25 is less than 226, use the next digit 3 from dividend 253 and add 0 to the quotient

$$\begin{array}{l}\phantom{226)}00\phantom{4}\\226\overline{)253}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 253

$$\begin{array}{l}\phantom{226)}00\phantom{5}\\226\overline{)253}\\\end{array}$$

Find closest multiple of 226 to 253. We see that 1 \times 226 = 226 is the nearest. Now subtract 226 from 253 to get reminder 27. Add 1 to quotient.

$$\begin{array}{l}\phantom{226)}001\phantom{6}\\226\overline{)253}\\\phantom{226)}\underline{\phantom{}226\phantom{}}\\\phantom{226)9}27\\\end{array}$$

Since 27 is less than 226, stop the division. The reminder is 27. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }27$$

Factor

$$\frac{11 \cdot 23}{2 \cdot 113} = 1\frac{27}{226} = 1.1194690265486726$$