Solve 6928/258

$$\frac{ 6928 }{ 258 }$$

Evaluate

$$\frac{3464}{129}\approx 26.852713178$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6928

$$\begin{array}{l}\phantom{258)}\phantom{1}\\258\overline{)6928}\\\end{array}$$

Since 6 is less than 258, use the next digit 9 from dividend 6928 and add 0 to the quotient

$$\begin{array}{l}\phantom{258)}0\phantom{2}\\258\overline{)6928}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6928

$$\begin{array}{l}\phantom{258)}0\phantom{3}\\258\overline{)6928}\\\end{array}$$

Since 69 is less than 258, use the next digit 2 from dividend 6928 and add 0 to the quotient

$$\begin{array}{l}\phantom{258)}00\phantom{4}\\258\overline{)6928}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 6928

$$\begin{array}{l}\phantom{258)}00\phantom{5}\\258\overline{)6928}\\\end{array}$$

Find closest multiple of 258 to 692. We see that 2 \times 258 = 516 is the nearest. Now subtract 516 from 692 to get reminder 176. Add 2 to quotient.

$$\begin{array}{l}\phantom{258)}002\phantom{6}\\258\overline{)6928}\\\phantom{258)}\underline{\phantom{}516\phantom{9}}\\\phantom{258)}176\\\end{array}$$

Use the 4^{th} digit 8 from dividend 6928

$$\begin{array}{l}\phantom{258)}002\phantom{7}\\258\overline{)6928}\\\phantom{258)}\underline{\phantom{}516\phantom{9}}\\\phantom{258)}1768\\\end{array}$$

Find closest multiple of 258 to 1768. We see that 6 \times 258 = 1548 is the nearest. Now subtract 1548 from 1768 to get reminder 220. Add 6 to quotient.

$$\begin{array}{l}\phantom{258)}0026\phantom{8}\\258\overline{)6928}\\\phantom{258)}\underline{\phantom{}516\phantom{9}}\\\phantom{258)}1768\\\phantom{258)}\underline{\phantom{}1548\phantom{}}\\\phantom{258)9}220\\\end{array}$$

Since 220 is less than 258, stop the division. The reminder is 220. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }220$$

Factor

$$\frac{2 ^ {3} \cdot 433}{3 \cdot 43} = 26\frac{110}{129} = 26.852713178294575$$