Solve 4200div66=

$$4200 \div 66=$$

Evaluate

$$\frac{700}{11}\approx 63.636363636$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4200

$$\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)4200}\\\end{array}$$

Since 4 is less than 66, use the next digit 2 from dividend 4200 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)4200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 4200

$$\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)4200}\\\end{array}$$

Since 42 is less than 66, use the next digit 0 from dividend 4200 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}00\phantom{4}\\66\overline{)4200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4200

$$\begin{array}{l}\phantom{66)}00\phantom{5}\\66\overline{)4200}\\\end{array}$$

Find closest multiple of 66 to 420. We see that 6 \times 66 = 396 is the nearest. Now subtract 396 from 420 to get reminder 24. Add 6 to quotient.

$$\begin{array}{l}\phantom{66)}006\phantom{6}\\66\overline{)4200}\\\phantom{66)}\underline{\phantom{}396\phantom{9}}\\\phantom{66)9}24\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4200

$$\begin{array}{l}\phantom{66)}006\phantom{7}\\66\overline{)4200}\\\phantom{66)}\underline{\phantom{}396\phantom{9}}\\\phantom{66)9}240\\\end{array}$$

Find closest multiple of 66 to 240. We see that 3 \times 66 = 198 is the nearest. Now subtract 198 from 240 to get reminder 42. Add 3 to quotient.

$$\begin{array}{l}\phantom{66)}0063\phantom{8}\\66\overline{)4200}\\\phantom{66)}\underline{\phantom{}396\phantom{9}}\\\phantom{66)9}240\\\phantom{66)}\underline{\phantom{9}198\phantom{}}\\\phantom{66)99}42\\\end{array}$$

Since 42 is less than 66, stop the division. The reminder is 42. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.

$$\text{Quotient: }63 \text{Reminder: }42$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7}{11} = 63\frac{7}{11} = 63.63636363636363$$