Solve 6960/36

$$\frac { 6960 } { 36 }$$

Evaluate

$$\frac{580}{3}\approx 193.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6960

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)6960}\\\end{array}$$

Since 6 is less than 36, use the next digit 9 from dividend 6960 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)6960}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6960

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)6960}\\\end{array}$$

Find closest multiple of 36 to 69. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 69 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)6960}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}33\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 6960

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)6960}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}336\\\end{array}$$

Find closest multiple of 36 to 336. We see that 9 \times 36 = 324 is the nearest. Now subtract 324 from 336 to get reminder 12. Add 9 to quotient.

$$\begin{array}{l}\phantom{36)}019\phantom{6}\\36\overline{)6960}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}336\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6960

$$\begin{array}{l}\phantom{36)}019\phantom{7}\\36\overline{)6960}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}336\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}120\\\end{array}$$

Find closest multiple of 36 to 120. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}0193\phantom{8}\\36\overline{)6960}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}336\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}120\\\phantom{36)}\underline{\phantom{9}108\phantom{}}\\\phantom{36)99}12\\\end{array}$$

Since 12 is less than 36, stop the division. The reminder is 12. The topmost line 0193 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 193.

$$\text{Quotient: }193 \text{Reminder: }12$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 29}{3} = 193\frac{1}{3} = 193.33333333333334$$