Solve 6724/51

$$\frac { 6724 } { 51 }$$

Evaluate

$$\frac{6724}{51}\approx 131.843137255$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6724

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)6724}\\\end{array}$$

Since 6 is less than 51, use the next digit 7 from dividend 6724 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)6724}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 6724

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)6724}\\\end{array}$$

Find closest multiple of 51 to 67. We see that 1 \times 51 = 51 is the nearest. Now subtract 51 from 67 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{51)}01\phantom{4}\\51\overline{)6724}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}16\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 6724

$$\begin{array}{l}\phantom{51)}01\phantom{5}\\51\overline{)6724}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}162\\\end{array}$$

Find closest multiple of 51 to 162. We see that 3 \times 51 = 153 is the nearest. Now subtract 153 from 162 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{51)}013\phantom{6}\\51\overline{)6724}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}162\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)99}9\\\end{array}$$

Use the 4^{th} digit 4 from dividend 6724

$$\begin{array}{l}\phantom{51)}013\phantom{7}\\51\overline{)6724}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}162\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)99}94\\\end{array}$$

Find closest multiple of 51 to 94. We see that 1 \times 51 = 51 is the nearest. Now subtract 51 from 94 to get reminder 43. Add 1 to quotient.

$$\begin{array}{l}\phantom{51)}0131\phantom{8}\\51\overline{)6724}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}162\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)99}94\\\phantom{51)}\underline{\phantom{99}51\phantom{}}\\\phantom{51)99}43\\\end{array}$$

Since 43 is less than 51, stop the division. The reminder is 43. The topmost line 0131 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 131.

$$\text{Quotient: }131 \text{Reminder: }43$$

Factor

$$\frac{2 ^ {2} \cdot 41 ^ {2}}{3 \cdot 17} = 131\frac{43}{51} = 131.84313725490196$$