Solve 13257/127

$$\frac{ 13257 }{ 127 }$$

Evaluate

$$\frac{13257}{127}\approx 104.385826772$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13257

$$\begin{array}{l}\phantom{127)}\phantom{1}\\127\overline{)13257}\\\end{array}$$

Since 1 is less than 127, use the next digit 3 from dividend 13257 and add 0 to the quotient

$$\begin{array}{l}\phantom{127)}0\phantom{2}\\127\overline{)13257}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13257

$$\begin{array}{l}\phantom{127)}0\phantom{3}\\127\overline{)13257}\\\end{array}$$

Since 13 is less than 127, use the next digit 2 from dividend 13257 and add 0 to the quotient

$$\begin{array}{l}\phantom{127)}00\phantom{4}\\127\overline{)13257}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 13257

$$\begin{array}{l}\phantom{127)}00\phantom{5}\\127\overline{)13257}\\\end{array}$$

Find closest multiple of 127 to 132. We see that 1 \times 127 = 127 is the nearest. Now subtract 127 from 132 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{127)}001\phantom{6}\\127\overline{)13257}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)99}5\\\end{array}$$

Use the 4^{th} digit 5 from dividend 13257

$$\begin{array}{l}\phantom{127)}001\phantom{7}\\127\overline{)13257}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)99}55\\\end{array}$$

Since 55 is less than 127, use the next digit 7 from dividend 13257 and add 0 to the quotient

$$\begin{array}{l}\phantom{127)}0010\phantom{8}\\127\overline{)13257}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)99}55\\\end{array}$$

Use the 5^{th} digit 7 from dividend 13257

$$\begin{array}{l}\phantom{127)}0010\phantom{9}\\127\overline{)13257}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)99}557\\\end{array}$$

Find closest multiple of 127 to 557. We see that 4 \times 127 = 508 is the nearest. Now subtract 508 from 557 to get reminder 49. Add 4 to quotient.

$$\begin{array}{l}\phantom{127)}00104\phantom{10}\\127\overline{)13257}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)99}557\\\phantom{127)}\underline{\phantom{99}508\phantom{}}\\\phantom{127)999}49\\\end{array}$$

Since 49 is less than 127, stop the division. The reminder is 49. The topmost line 00104 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 104.

$$\text{Quotient: }104 \text{Reminder: }49$$

Factor

$$\frac{3 ^ {3} \cdot 491}{127} = 104\frac{49}{127} = 104.38582677165354$$