Solve 1124div13

$$1124 \div 13$$

Evaluate

$$\frac{1124}{13}\approx 86.461538462$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1124

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)1124}\\\end{array}$$

Since 1 is less than 13, use the next digit 1 from dividend 1124 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)1124}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1124

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)1124}\\\end{array}$$

Since 11 is less than 13, use the next digit 2 from dividend 1124 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}00\phantom{4}\\13\overline{)1124}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1124

$$\begin{array}{l}\phantom{13)}00\phantom{5}\\13\overline{)1124}\\\end{array}$$

Find closest multiple of 13 to 112. We see that 8 \times 13 = 104 is the nearest. Now subtract 104 from 112 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{13)}008\phantom{6}\\13\overline{)1124}\\\phantom{13)}\underline{\phantom{}104\phantom{9}}\\\phantom{13)99}8\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1124

$$\begin{array}{l}\phantom{13)}008\phantom{7}\\13\overline{)1124}\\\phantom{13)}\underline{\phantom{}104\phantom{9}}\\\phantom{13)99}84\\\end{array}$$

Find closest multiple of 13 to 84. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 84 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}0086\phantom{8}\\13\overline{)1124}\\\phantom{13)}\underline{\phantom{}104\phantom{9}}\\\phantom{13)99}84\\\phantom{13)}\underline{\phantom{99}78\phantom{}}\\\phantom{13)999}6\\\end{array}$$

Since 6 is less than 13, stop the division. The reminder is 6. The topmost line 0086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.

$$\text{Quotient: }86 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {2} \cdot 281}{13} = 86\frac{6}{13} = 86.46153846153847$$