Solve 234000/617

$$\frac { 234000 } { 617 }$$

Evaluate

$$\frac{234000}{617}\approx 379.25445705$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 234000

$$\begin{array}{l}\phantom{617)}\phantom{1}\\617\overline{)234000}\\\end{array}$$

Since 2 is less than 617, use the next digit 3 from dividend 234000 and add 0 to the quotient

$$\begin{array}{l}\phantom{617)}0\phantom{2}\\617\overline{)234000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 234000

$$\begin{array}{l}\phantom{617)}0\phantom{3}\\617\overline{)234000}\\\end{array}$$

Since 23 is less than 617, use the next digit 4 from dividend 234000 and add 0 to the quotient

$$\begin{array}{l}\phantom{617)}00\phantom{4}\\617\overline{)234000}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 234000

$$\begin{array}{l}\phantom{617)}00\phantom{5}\\617\overline{)234000}\\\end{array}$$

Since 234 is less than 617, use the next digit 0 from dividend 234000 and add 0 to the quotient

$$\begin{array}{l}\phantom{617)}000\phantom{6}\\617\overline{)234000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 234000

$$\begin{array}{l}\phantom{617)}000\phantom{7}\\617\overline{)234000}\\\end{array}$$

Find closest multiple of 617 to 2340. We see that 3 \times 617 = 1851 is the nearest. Now subtract 1851 from 2340 to get reminder 489. Add 3 to quotient.

$$\begin{array}{l}\phantom{617)}0003\phantom{8}\\617\overline{)234000}\\\phantom{617)}\underline{\phantom{}1851\phantom{99}}\\\phantom{617)9}489\\\end{array}$$

Use the 5^{th} digit 0 from dividend 234000

$$\begin{array}{l}\phantom{617)}0003\phantom{9}\\617\overline{)234000}\\\phantom{617)}\underline{\phantom{}1851\phantom{99}}\\\phantom{617)9}4890\\\end{array}$$

Find closest multiple of 617 to 4890. We see that 7 \times 617 = 4319 is the nearest. Now subtract 4319 from 4890 to get reminder 571. Add 7 to quotient.

$$\begin{array}{l}\phantom{617)}00037\phantom{10}\\617\overline{)234000}\\\phantom{617)}\underline{\phantom{}1851\phantom{99}}\\\phantom{617)9}4890\\\phantom{617)}\underline{\phantom{9}4319\phantom{9}}\\\phantom{617)99}571\\\end{array}$$

Use the 6^{th} digit 0 from dividend 234000

$$\begin{array}{l}\phantom{617)}00037\phantom{11}\\617\overline{)234000}\\\phantom{617)}\underline{\phantom{}1851\phantom{99}}\\\phantom{617)9}4890\\\phantom{617)}\underline{\phantom{9}4319\phantom{9}}\\\phantom{617)99}5710\\\end{array}$$

Find closest multiple of 617 to 5710. We see that 9 \times 617 = 5553 is the nearest. Now subtract 5553 from 5710 to get reminder 157. Add 9 to quotient.

$$\begin{array}{l}\phantom{617)}000379\phantom{12}\\617\overline{)234000}\\\phantom{617)}\underline{\phantom{}1851\phantom{99}}\\\phantom{617)9}4890\\\phantom{617)}\underline{\phantom{9}4319\phantom{9}}\\\phantom{617)99}5710\\\phantom{617)}\underline{\phantom{99}5553\phantom{}}\\\phantom{617)999}157\\\end{array}$$

Since 157 is less than 617, stop the division. The reminder is 157. The topmost line 000379 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 379.

$$\text{Quotient: }379 \text{Reminder: }157$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {3} \cdot 13}{617} = 379\frac{157}{617} = 379.2544570502431$$