Solve 3141:53=

$$3141 : 53 =$$

Evaluate

$$\frac{3141}{53}\approx 59.264150943$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3141

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)3141}\\\end{array}$$

Since 3 is less than 53, use the next digit 1 from dividend 3141 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)3141}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3141

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)3141}\\\end{array}$$

Since 31 is less than 53, use the next digit 4 from dividend 3141 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)3141}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3141

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)3141}\\\end{array}$$

Find closest multiple of 53 to 314. We see that 5 \times 53 = 265 is the nearest. Now subtract 265 from 314 to get reminder 49. Add 5 to quotient.

$$\begin{array}{l}\phantom{53)}005\phantom{6}\\53\overline{)3141}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}49\\\end{array}$$

Use the 4^{th} digit 1 from dividend 3141

$$\begin{array}{l}\phantom{53)}005\phantom{7}\\53\overline{)3141}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}491\\\end{array}$$

Find closest multiple of 53 to 491. We see that 9 \times 53 = 477 is the nearest. Now subtract 477 from 491 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{53)}0059\phantom{8}\\53\overline{)3141}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}491\\\phantom{53)}\underline{\phantom{9}477\phantom{}}\\\phantom{53)99}14\\\end{array}$$

Since 14 is less than 53, stop the division. The reminder is 14. The topmost line 0059 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 59.

$$\text{Quotient: }59 \text{Reminder: }14$$

Factor

$$\frac{3 ^ {2} \cdot 349}{53} = 59\frac{14}{53} = 59.264150943396224$$