Solve 4233:63

$$4233 : 63$$

Evaluate

$$\frac{1411}{21}\approx 67.19047619$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4233

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)4233}\\\end{array}$$

Since 4 is less than 63, use the next digit 2 from dividend 4233 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)4233}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 4233

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)4233}\\\end{array}$$

Since 42 is less than 63, use the next digit 3 from dividend 4233 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)4233}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 4233

$$\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)4233}\\\end{array}$$

Find closest multiple of 63 to 423. We see that 6 \times 63 = 378 is the nearest. Now subtract 378 from 423 to get reminder 45. Add 6 to quotient.

$$\begin{array}{l}\phantom{63)}006\phantom{6}\\63\overline{)4233}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}45\\\end{array}$$

Use the 4^{th} digit 3 from dividend 4233

$$\begin{array}{l}\phantom{63)}006\phantom{7}\\63\overline{)4233}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}453\\\end{array}$$

Find closest multiple of 63 to 453. We see that 7 \times 63 = 441 is the nearest. Now subtract 441 from 453 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{63)}0067\phantom{8}\\63\overline{)4233}\\\phantom{63)}\underline{\phantom{}378\phantom{9}}\\\phantom{63)9}453\\\phantom{63)}\underline{\phantom{9}441\phantom{}}\\\phantom{63)99}12\\\end{array}$$

Since 12 is less than 63, stop the division. The reminder is 12. The topmost line 0067 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 67.

$$\text{Quotient: }67 \text{Reminder: }12$$

Factor

$$\frac{17 \cdot 83}{3 \cdot 7} = 67\frac{4}{21} = 67.19047619047619$$