Solve 1609div11

$$1609 \div 11$$

Evaluate

$$\frac{1609}{11}\approx 146.272727273$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1609

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1609}\\\end{array}$$

Since 1 is less than 11, use the next digit 6 from dividend 1609 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1609}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1609

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1609}\\\end{array}$$

Find closest multiple of 11 to 16. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 16 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1609}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}5\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1609

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1609}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}50\\\end{array}$$

Find closest multiple of 11 to 50. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 50 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{11)}014\phantom{6}\\11\overline{)1609}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}50\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}6\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1609

$$\begin{array}{l}\phantom{11)}014\phantom{7}\\11\overline{)1609}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}50\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}69\\\end{array}$$

Find closest multiple of 11 to 69. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 69 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}0146\phantom{8}\\11\overline{)1609}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}50\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}69\\\phantom{11)}\underline{\phantom{99}66\phantom{}}\\\phantom{11)999}3\\\end{array}$$

Since 3 is less than 11, stop the division. The reminder is 3. The topmost line 0146 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 146.

$$\text{Quotient: }146 \text{Reminder: }3$$

Factor

$$\frac{1609}{11} = 146\frac{3}{11} = 146.27272727272728$$