Solve 3499div14

$$3499 \div 14$$

Evaluate

$$\frac{3499}{14}\approx 249.928571429$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3499

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)3499}\\\end{array}$$

Since 3 is less than 14, use the next digit 4 from dividend 3499 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)3499}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3499

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)3499}\\\end{array}$$

Find closest multiple of 14 to 34. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 34 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)3499}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}6\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 3499

$$\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)3499}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}69\\\end{array}$$

Find closest multiple of 14 to 69. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 69 to get reminder 13. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}024\phantom{6}\\14\overline{)3499}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}69\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)9}13\\\end{array}$$

Use the 4^{th} digit 9 from dividend 3499

$$\begin{array}{l}\phantom{14)}024\phantom{7}\\14\overline{)3499}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}69\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)9}139\\\end{array}$$

Find closest multiple of 14 to 139. We see that 9 \times 14 = 126 is the nearest. Now subtract 126 from 139 to get reminder 13. Add 9 to quotient.

$$\begin{array}{l}\phantom{14)}0249\phantom{8}\\14\overline{)3499}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}69\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)9}139\\\phantom{14)}\underline{\phantom{9}126\phantom{}}\\\phantom{14)99}13\\\end{array}$$

Since 13 is less than 14, stop the division. The reminder is 13. The topmost line 0249 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 249.

$$\text{Quotient: }249 \text{Reminder: }13$$

Factor

$$\frac{3499}{2 \cdot 7} = 249\frac{13}{14} = 249.92857142857142$$