Solve 12219/35

$$\frac { 12219 } { 35 }$$

Evaluate

$$\frac{12219}{35}\approx 349.114285714$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12219

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)12219}\\\end{array}$$

Since 1 is less than 35, use the next digit 2 from dividend 12219 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)12219}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12219

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)12219}\\\end{array}$$

Since 12 is less than 35, use the next digit 2 from dividend 12219 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)12219}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 12219

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)12219}\\\end{array}$$

Find closest multiple of 35 to 122. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 122 to get reminder 17. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}003\phantom{6}\\35\overline{)12219}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}17\\\end{array}$$

Use the 4^{th} digit 1 from dividend 12219

$$\begin{array}{l}\phantom{35)}003\phantom{7}\\35\overline{)12219}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}171\\\end{array}$$

Find closest multiple of 35 to 171. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 171 to get reminder 31. Add 4 to quotient.

$$\begin{array}{l}\phantom{35)}0034\phantom{8}\\35\overline{)12219}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}31\\\end{array}$$

Use the 5^{th} digit 9 from dividend 12219

$$\begin{array}{l}\phantom{35)}0034\phantom{9}\\35\overline{)12219}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}319\\\end{array}$$

Find closest multiple of 35 to 319. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 319 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{35)}00349\phantom{10}\\35\overline{)12219}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}319\\\phantom{35)}\underline{\phantom{99}315\phantom{}}\\\phantom{35)9999}4\\\end{array}$$

Since 4 is less than 35, stop the division. The reminder is 4. The topmost line 00349 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 349.

$$\text{Quotient: }349 \text{Reminder: }4$$

Factor

$$\frac{3 \cdot 4073}{5 \cdot 7} = 349\frac{4}{35} = 349.1142857142857$$