Solve 4270/63

$$\frac { 4270 } { 63 }$$

Evaluate

$$\frac{610}{9}\approx 67.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4270

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)4270}\\\end{array}$$

Since 4 is less than 63, use the next digit 2 from dividend 4270 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)4270}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 4270

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)4270}\\\end{array}$$

Since 42 is less than 63, use the next digit 7 from dividend 4270 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)4270}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 4270

$$\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)4270}\\\end{array}$$

Find closest multiple of 63 to 427. We see that 6 \times 63 = 378 is the nearest. Now subtract 378 from 427 to get reminder 49. Add 6 to quotient.

$$\begin{array}{l}\phantom{63)}006\phantom{6}\\63\overline{)4270}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}49\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4270

$$\begin{array}{l}\phantom{63)}006\phantom{7}\\63\overline{)4270}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}490\\\end{array}$$

Find closest multiple of 63 to 490. We see that 7 \times 63 = 441 is the nearest. Now subtract 441 from 490 to get reminder 49. Add 7 to quotient.

$$\begin{array}{l}\phantom{63)}0067\phantom{8}\\63\overline{)4270}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}490\\\phantom{63)}\underline{\phantom{9}441\phantom{}}\\\phantom{63)99}49\\\end{array}$$

Since 49 is less than 63, stop the division. The reminder is 49. The topmost line 0067 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 67.

$$\text{Quotient: }67 \text{Reminder: }49$$

Factor

$$\frac{2 \cdot 5 \cdot 61}{3 ^ {2}} = 67\frac{7}{9} = 67.77777777777777$$