Solve 125797/45

$$\frac { 125797 } { 45 }$$

Evaluate

$$\frac{125797}{45}\approx 2795.488888889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 125797

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)125797}\\\end{array}$$

Since 1 is less than 45, use the next digit 2 from dividend 125797 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)125797}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 125797

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)125797}\\\end{array}$$

Since 12 is less than 45, use the next digit 5 from dividend 125797 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)125797}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 125797

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)125797}\\\end{array}$$

Find closest multiple of 45 to 125. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 125 to get reminder 35. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}002\phantom{6}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}35\\\end{array}$$

Use the 4^{th} digit 7 from dividend 125797

$$\begin{array}{l}\phantom{45)}002\phantom{7}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\end{array}$$

Find closest multiple of 45 to 357. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 357 to get reminder 42. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}0027\phantom{8}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{99}}\\\phantom{45)99}42\\\end{array}$$

Use the 5^{th} digit 9 from dividend 125797

$$\begin{array}{l}\phantom{45)}0027\phantom{9}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{99}}\\\phantom{45)99}429\\\end{array}$$

Find closest multiple of 45 to 429. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 429 to get reminder 24. Add 9 to quotient.

$$\begin{array}{l}\phantom{45)}00279\phantom{10}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{99}}\\\phantom{45)99}429\\\phantom{45)}\underline{\phantom{99}405\phantom{9}}\\\phantom{45)999}24\\\end{array}$$

Use the 6^{th} digit 7 from dividend 125797

$$\begin{array}{l}\phantom{45)}00279\phantom{11}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{99}}\\\phantom{45)99}429\\\phantom{45)}\underline{\phantom{99}405\phantom{9}}\\\phantom{45)999}247\\\end{array}$$

Find closest multiple of 45 to 247. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 247 to get reminder 22. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}002795\phantom{12}\\45\overline{)125797}\\\phantom{45)}\underline{\phantom{9}90\phantom{999}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{99}}\\\phantom{45)99}429\\\phantom{45)}\underline{\phantom{99}405\phantom{9}}\\\phantom{45)999}247\\\phantom{45)}\underline{\phantom{999}225\phantom{}}\\\phantom{45)9999}22\\\end{array}$$

Since 22 is less than 45, stop the division. The reminder is 22. The topmost line 002795 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2795.

$$\text{Quotient: }2795 \text{Reminder: }22$$

Factor

$$\frac{7 \cdot 17971}{3 ^ {2} \cdot 5} = 2795\frac{22}{45} = 2795.488888888889$$