Solve 567890/54

$$\frac { 567890 } { 54 }$$

Evaluate

$$\frac{283945}{27}\approx 10516.481481481$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 567890

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)567890}\\\end{array}$$

Since 5 is less than 54, use the next digit 6 from dividend 567890 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)567890}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 567890

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)567890}\\\end{array}$$

Find closest multiple of 54 to 56. We see that 1 \times 54 = 54 is the nearest. Now subtract 54 from 56 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{54)}01\phantom{4}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}2\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 567890

$$\begin{array}{l}\phantom{54)}01\phantom{5}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}27\\\end{array}$$

Since 27 is less than 54, use the next digit 8 from dividend 567890 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}010\phantom{6}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}27\\\end{array}$$

Use the 4^{th} digit 8 from dividend 567890

$$\begin{array}{l}\phantom{54)}010\phantom{7}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\end{array}$$

Find closest multiple of 54 to 278. We see that 5 \times 54 = 270 is the nearest. Now subtract 270 from 278 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{54)}0105\phantom{8}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\phantom{54)}\underline{\phantom{9}270\phantom{99}}\\\phantom{54)999}8\\\end{array}$$

Use the 5^{th} digit 9 from dividend 567890

$$\begin{array}{l}\phantom{54)}0105\phantom{9}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\phantom{54)}\underline{\phantom{9}270\phantom{99}}\\\phantom{54)999}89\\\end{array}$$

Find closest multiple of 54 to 89. We see that 1 \times 54 = 54 is the nearest. Now subtract 54 from 89 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{54)}01051\phantom{10}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\phantom{54)}\underline{\phantom{9}270\phantom{99}}\\\phantom{54)999}89\\\phantom{54)}\underline{\phantom{999}54\phantom{9}}\\\phantom{54)999}35\\\end{array}$$

Use the 6^{th} digit 0 from dividend 567890

$$\begin{array}{l}\phantom{54)}01051\phantom{11}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\phantom{54)}\underline{\phantom{9}270\phantom{99}}\\\phantom{54)999}89\\\phantom{54)}\underline{\phantom{999}54\phantom{9}}\\\phantom{54)999}350\\\end{array}$$

Find closest multiple of 54 to 350. We see that 6 \times 54 = 324 is the nearest. Now subtract 324 from 350 to get reminder 26. Add 6 to quotient.

$$\begin{array}{l}\phantom{54)}010516\phantom{12}\\54\overline{)567890}\\\phantom{54)}\underline{\phantom{}54\phantom{9999}}\\\phantom{54)9}278\\\phantom{54)}\underline{\phantom{9}270\phantom{99}}\\\phantom{54)999}89\\\phantom{54)}\underline{\phantom{999}54\phantom{9}}\\\phantom{54)999}350\\\phantom{54)}\underline{\phantom{999}324\phantom{}}\\\phantom{54)9999}26\\\end{array}$$

Since 26 is less than 54, stop the division. The reminder is 26. The topmost line 010516 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 10516.

$$\text{Quotient: }10516 \text{Reminder: }26$$

Factor

$$\frac{5 \cdot 109 \cdot 521}{3 ^ {3}} = 10516\frac{13}{27} \approx 10516.481481481$$