Solve 1253:563=

$$1253 : 563 =$$

Evaluate

$$\frac{1253}{563}\approx 2.225577265$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1253

$$\begin{array}{l}\phantom{563)}\phantom{1}\\563\overline{)1253}\\\end{array}$$

Since 1 is less than 563, use the next digit 2 from dividend 1253 and add 0 to the quotient

$$\begin{array}{l}\phantom{563)}0\phantom{2}\\563\overline{)1253}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1253

$$\begin{array}{l}\phantom{563)}0\phantom{3}\\563\overline{)1253}\\\end{array}$$

Since 12 is less than 563, use the next digit 5 from dividend 1253 and add 0 to the quotient

$$\begin{array}{l}\phantom{563)}00\phantom{4}\\563\overline{)1253}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1253

$$\begin{array}{l}\phantom{563)}00\phantom{5}\\563\overline{)1253}\\\end{array}$$

Since 125 is less than 563, use the next digit 3 from dividend 1253 and add 0 to the quotient

$$\begin{array}{l}\phantom{563)}000\phantom{6}\\563\overline{)1253}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1253

$$\begin{array}{l}\phantom{563)}000\phantom{7}\\563\overline{)1253}\\\end{array}$$

Find closest multiple of 563 to 1253. We see that 2 \times 563 = 1126 is the nearest. Now subtract 1126 from 1253 to get reminder 127. Add 2 to quotient.

$$\begin{array}{l}\phantom{563)}0002\phantom{8}\\563\overline{)1253}\\\phantom{563)}\underline{\phantom{}1126\phantom{}}\\\phantom{563)9}127\\\end{array}$$

Since 127 is less than 563, stop the division. The reminder is 127. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }127$$

Factor

$$\frac{7 \cdot 179}{563} = 2\frac{127}{563} = 2.225577264653641$$