Solve 7109384div11884

$$7109384 \div 11884$$

Evaluate

$$\frac{1777346}{2971}\approx 598.231571861$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}\phantom{1}\\11884\overline{)7109384}\\\end{array}$$

Since 7 is less than 11884, use the next digit 1 from dividend 7109384 and add 0 to the quotient

$$\begin{array}{l}\phantom{11884)}0\phantom{2}\\11884\overline{)7109384}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}0\phantom{3}\\11884\overline{)7109384}\\\end{array}$$

Since 71 is less than 11884, use the next digit 0 from dividend 7109384 and add 0 to the quotient

$$\begin{array}{l}\phantom{11884)}00\phantom{4}\\11884\overline{)7109384}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}00\phantom{5}\\11884\overline{)7109384}\\\end{array}$$

Since 710 is less than 11884, use the next digit 9 from dividend 7109384 and add 0 to the quotient

$$\begin{array}{l}\phantom{11884)}000\phantom{6}\\11884\overline{)7109384}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}000\phantom{7}\\11884\overline{)7109384}\\\end{array}$$

Since 7109 is less than 11884, use the next digit 3 from dividend 7109384 and add 0 to the quotient

$$\begin{array}{l}\phantom{11884)}0000\phantom{8}\\11884\overline{)7109384}\\\end{array}$$

Use the 5^{th} digit 3 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}0000\phantom{9}\\11884\overline{)7109384}\\\end{array}$$

Find closest multiple of 11884 to 71093. We see that 5 \times 11884 = 59420 is the nearest. Now subtract 59420 from 71093 to get reminder 11673. Add 5 to quotient.

$$\begin{array}{l}\phantom{11884)}00005\phantom{10}\\11884\overline{)7109384}\\\phantom{11884)}\underline{\phantom{}59420\phantom{99}}\\\phantom{11884)}11673\\\end{array}$$

Use the 6^{th} digit 8 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}00005\phantom{11}\\11884\overline{)7109384}\\\phantom{11884)}\underline{\phantom{}59420\phantom{99}}\\\phantom{11884)}116738\\\end{array}$$

Find closest multiple of 11884 to 116738. We see that 9 \times 11884 = 106956 is the nearest. Now subtract 106956 from 116738 to get reminder 9782. Add 9 to quotient.

$$\begin{array}{l}\phantom{11884)}000059\phantom{12}\\11884\overline{)7109384}\\\phantom{11884)}\underline{\phantom{}59420\phantom{99}}\\\phantom{11884)}116738\\\phantom{11884)}\underline{\phantom{}106956\phantom{9}}\\\phantom{11884)99}9782\\\end{array}$$

Use the 7^{th} digit 4 from dividend 7109384

$$\begin{array}{l}\phantom{11884)}000059\phantom{13}\\11884\overline{)7109384}\\\phantom{11884)}\underline{\phantom{}59420\phantom{99}}\\\phantom{11884)}116738\\\phantom{11884)}\underline{\phantom{}106956\phantom{9}}\\\phantom{11884)99}97824\\\end{array}$$

Find closest multiple of 11884 to 97824. We see that 8 \times 11884 = 95072 is the nearest. Now subtract 95072 from 97824 to get reminder 2752. Add 8 to quotient.

$$\begin{array}{l}\phantom{11884)}0000598\phantom{14}\\11884\overline{)7109384}\\\phantom{11884)}\underline{\phantom{}59420\phantom{99}}\\\phantom{11884)}116738\\\phantom{11884)}\underline{\phantom{}106956\phantom{9}}\\\phantom{11884)99}97824\\\phantom{11884)}\underline{\phantom{99}95072\phantom{}}\\\phantom{11884)999}2752\\\end{array}$$

Since 2752 is less than 11884, stop the division. The reminder is 2752. The topmost line 0000598 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 598.

$$\text{Quotient: }598 \text{Reminder: }2752$$

Factor

$$\frac{2 \cdot 919 \cdot 967}{2971} = 598\frac{688}{2971} = 598.2315718613262$$