Solve 257/41

$$\frac { 257 } { 41 }$$

Evaluate

$$\frac{257}{41}\approx 6.268292683$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 257

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)257}\\\end{array}$$

Since 2 is less than 41, use the next digit 5 from dividend 257 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)257}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 257

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)257}\\\end{array}$$

Since 25 is less than 41, use the next digit 7 from dividend 257 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)257}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 257

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)257}\\\end{array}$$

Find closest multiple of 41 to 257. We see that 6 \times 41 = 246 is the nearest. Now subtract 246 from 257 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{41)}006\phantom{6}\\41\overline{)257}\\\phantom{41)}\underline{\phantom{}246\phantom{}}\\\phantom{41)9}11\\\end{array}$$

Since 11 is less than 41, stop the division. The reminder is 11. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }11$$

Factor

$$\frac{257}{41} = 6\frac{11}{41} = 6.2682926829268295$$