Solve 6928/518

$$\frac { 6928 } { 518 }$$

Evaluate

$$\frac{3464}{259}\approx 13.374517375$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{518)}\phantom{1}\\518\overline{)6928}\\\end{array}$$

Since 6 is less than 518, use the next digit 9 from dividend 6928 and add 0 to the quotient

$$\begin{array}{l}\phantom{518)}0\phantom{2}\\518\overline{)6928}\\\end{array}$$

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

$$\begin{array}{l}\phantom{518)}0\phantom{3}\\518\overline{)6928}\\\end{array}$$

Since 69 is less than 518, use the next digit 2 from dividend 6928 and add 0 to the quotient

$$\begin{array}{l}\phantom{518)}00\phantom{4}\\518\overline{)6928}\\\end{array}$$

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

$$\begin{array}{l}\phantom{518)}00\phantom{5}\\518\overline{)6928}\\\end{array}$$

Find closest multiple of 518 to 692. We see that 1 \times 518 = 518 is the nearest. Now subtract 518 from 692 to get reminder 174. Add 1 to quotient.

$$\begin{array}{l}\phantom{518)}001\phantom{6}\\518\overline{)6928}\\\phantom{518)}\underline{\phantom{}518\phantom{9}}\\\phantom{518)}174\\\end{array}$$

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

$$\begin{array}{l}\phantom{518)}001\phantom{7}\\518\overline{)6928}\\\phantom{518)}\underline{\phantom{}518\phantom{9}}\\\phantom{518)}1748\\\end{array}$$

Find closest multiple of 518 to 1748. We see that 3 \times 518 = 1554 is the nearest. Now subtract 1554 from 1748 to get reminder 194. Add 3 to quotient.

$$\begin{array}{l}\phantom{518)}0013\phantom{8}\\518\overline{)6928}\\\phantom{518)}\underline{\phantom{}518\phantom{9}}\\\phantom{518)}1748\\\phantom{518)}\underline{\phantom{}1554\phantom{}}\\\phantom{518)9}194\\\end{array}$$

Since 194 is less than 518, stop the division. The reminder is 194. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }194$$

Factor

$$\frac{2 ^ {3} \cdot 433}{7 \cdot 37} = 13\frac{97}{259} = 13.374517374517374$$