Solve 7869div66=

$$7869 \div 66=$$

Evaluate

$$\frac{2623}{22}\approx 119.227272727$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7869

$$\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)7869}\\\end{array}$$

Since 7 is less than 66, use the next digit 8 from dividend 7869 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)7869}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7869

$$\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)7869}\\\end{array}$$

Find closest multiple of 66 to 78. We see that 1 \times 66 = 66 is the nearest. Now subtract 66 from 78 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{66)}01\phantom{4}\\66\overline{)7869}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}12\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 7869

$$\begin{array}{l}\phantom{66)}01\phantom{5}\\66\overline{)7869}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}126\\\end{array}$$

Find closest multiple of 66 to 126. We see that 1 \times 66 = 66 is the nearest. Now subtract 66 from 126 to get reminder 60. Add 1 to quotient.

$$\begin{array}{l}\phantom{66)}011\phantom{6}\\66\overline{)7869}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}126\\\phantom{66)}\underline{\phantom{9}66\phantom{9}}\\\phantom{66)9}60\\\end{array}$$

Use the 4^{th} digit 9 from dividend 7869

$$\begin{array}{l}\phantom{66)}011\phantom{7}\\66\overline{)7869}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}126\\\phantom{66)}\underline{\phantom{9}66\phantom{9}}\\\phantom{66)9}609\\\end{array}$$

Find closest multiple of 66 to 609. We see that 9 \times 66 = 594 is the nearest. Now subtract 594 from 609 to get reminder 15. Add 9 to quotient.

$$\begin{array}{l}\phantom{66)}0119\phantom{8}\\66\overline{)7869}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}126\\\phantom{66)}\underline{\phantom{9}66\phantom{9}}\\\phantom{66)9}609\\\phantom{66)}\underline{\phantom{9}594\phantom{}}\\\phantom{66)99}15\\\end{array}$$

Since 15 is less than 66, stop the division. The reminder is 15. The topmost line 0119 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 119.

$$\text{Quotient: }119 \text{Reminder: }15$$

Factor

$$\frac{43 \cdot 61}{2 \cdot 11} = 119\frac{5}{22} = 119.22727272727273$$