Solve 3640/53

$$\frac { 3640 } { 53 }$$

Evaluate

$$\frac{3640}{53}\approx 68.679245283$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3640

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)3640}\\\end{array}$$

Since 3 is less than 53, use the next digit 6 from dividend 3640 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)3640}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3640

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)3640}\\\end{array}$$

Since 36 is less than 53, use the next digit 4 from dividend 3640 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)3640}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3640

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)3640}\\\end{array}$$

Find closest multiple of 53 to 364. We see that 6 \times 53 = 318 is the nearest. Now subtract 318 from 364 to get reminder 46. Add 6 to quotient.

$$\begin{array}{l}\phantom{53)}006\phantom{6}\\53\overline{)3640}\\\phantom{53)}\underline{\phantom{}318\phantom{9}}\\\phantom{53)9}46\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3640

$$\begin{array}{l}\phantom{53)}006\phantom{7}\\53\overline{)3640}\\\phantom{53)}\underline{\phantom{}318\phantom{9}}\\\phantom{53)9}460\\\end{array}$$

Find closest multiple of 53 to 460. We see that 8 \times 53 = 424 is the nearest. Now subtract 424 from 460 to get reminder 36. Add 8 to quotient.

$$\begin{array}{l}\phantom{53)}0068\phantom{8}\\53\overline{)3640}\\\phantom{53)}\underline{\phantom{}318\phantom{9}}\\\phantom{53)9}460\\\phantom{53)}\underline{\phantom{9}424\phantom{}}\\\phantom{53)99}36\\\end{array}$$

Since 36 is less than 53, stop the division. The reminder is 36. The topmost line 0068 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 68.

$$\text{Quotient: }68 \text{Reminder: }36$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 7 \cdot 13}{53} = 68\frac{36}{53} = 68.67924528301887$$