Solve 1420/254

$$\frac{ 1420 }{ 254 }$$

Evaluate

$$\frac{710}{127}\approx 5.590551181$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1420

$$\begin{array}{l}\phantom{254)}\phantom{1}\\254\overline{)1420}\\\end{array}$$

Since 1 is less than 254, use the next digit 4 from dividend 1420 and add 0 to the quotient

$$\begin{array}{l}\phantom{254)}0\phantom{2}\\254\overline{)1420}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1420

$$\begin{array}{l}\phantom{254)}0\phantom{3}\\254\overline{)1420}\\\end{array}$$

Since 14 is less than 254, use the next digit 2 from dividend 1420 and add 0 to the quotient

$$\begin{array}{l}\phantom{254)}00\phantom{4}\\254\overline{)1420}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1420

$$\begin{array}{l}\phantom{254)}00\phantom{5}\\254\overline{)1420}\\\end{array}$$

Since 142 is less than 254, use the next digit 0 from dividend 1420 and add 0 to the quotient

$$\begin{array}{l}\phantom{254)}000\phantom{6}\\254\overline{)1420}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1420

$$\begin{array}{l}\phantom{254)}000\phantom{7}\\254\overline{)1420}\\\end{array}$$

Find closest multiple of 254 to 1420. We see that 5 \times 254 = 1270 is the nearest. Now subtract 1270 from 1420 to get reminder 150. Add 5 to quotient.

$$\begin{array}{l}\phantom{254)}0005\phantom{8}\\254\overline{)1420}\\\phantom{254)}\underline{\phantom{}1270\phantom{}}\\\phantom{254)9}150\\\end{array}$$

Since 150 is less than 254, stop the division. The reminder is 150. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }150$$

Factor

$$\frac{2 \cdot 5 \cdot 71}{127} = 5\frac{75}{127} = 5.590551181102362$$