Solve 3453710div72

$$3453710 \div 72$$

Evaluate

$$\frac{1726855}{36}\approx 47968.194444444$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3453710

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)3453710}\\\end{array}$$

Since 3 is less than 72, use the next digit 4 from dividend 3453710 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)3453710}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3453710

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)3453710}\\\end{array}$$

Since 34 is less than 72, use the next digit 5 from dividend 3453710 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)3453710}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3453710

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)3453710}\\\end{array}$$

Find closest multiple of 72 to 345. We see that 4 \times 72 = 288 is the nearest. Now subtract 288 from 345 to get reminder 57. Add 4 to quotient.

$$\begin{array}{l}\phantom{72)}004\phantom{6}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}57\\\end{array}$$

Use the 4^{th} digit 3 from dividend 3453710

$$\begin{array}{l}\phantom{72)}004\phantom{7}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\end{array}$$

Find closest multiple of 72 to 573. We see that 7 \times 72 = 504 is the nearest. Now subtract 504 from 573 to get reminder 69. Add 7 to quotient.

$$\begin{array}{l}\phantom{72)}0047\phantom{8}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}69\\\end{array}$$

Use the 5^{th} digit 7 from dividend 3453710

$$\begin{array}{l}\phantom{72)}0047\phantom{9}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\end{array}$$

Find closest multiple of 72 to 697. We see that 9 \times 72 = 648 is the nearest. Now subtract 648 from 697 to get reminder 49. Add 9 to quotient.

$$\begin{array}{l}\phantom{72)}00479\phantom{10}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\phantom{72)}\underline{\phantom{99}648\phantom{99}}\\\phantom{72)999}49\\\end{array}$$

Use the 6^{th} digit 1 from dividend 3453710

$$\begin{array}{l}\phantom{72)}00479\phantom{11}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\phantom{72)}\underline{\phantom{99}648\phantom{99}}\\\phantom{72)999}491\\\end{array}$$

Find closest multiple of 72 to 491. We see that 6 \times 72 = 432 is the nearest. Now subtract 432 from 491 to get reminder 59. Add 6 to quotient.

$$\begin{array}{l}\phantom{72)}004796\phantom{12}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\phantom{72)}\underline{\phantom{99}648\phantom{99}}\\\phantom{72)999}491\\\phantom{72)}\underline{\phantom{999}432\phantom{9}}\\\phantom{72)9999}59\\\end{array}$$

Use the 7^{th} digit 0 from dividend 3453710

$$\begin{array}{l}\phantom{72)}004796\phantom{13}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\phantom{72)}\underline{\phantom{99}648\phantom{99}}\\\phantom{72)999}491\\\phantom{72)}\underline{\phantom{999}432\phantom{9}}\\\phantom{72)9999}590\\\end{array}$$

Find closest multiple of 72 to 590. We see that 8 \times 72 = 576 is the nearest. Now subtract 576 from 590 to get reminder 14. Add 8 to quotient.

$$\begin{array}{l}\phantom{72)}0047968\phantom{14}\\72\overline{)3453710}\\\phantom{72)}\underline{\phantom{}288\phantom{9999}}\\\phantom{72)9}573\\\phantom{72)}\underline{\phantom{9}504\phantom{999}}\\\phantom{72)99}697\\\phantom{72)}\underline{\phantom{99}648\phantom{99}}\\\phantom{72)999}491\\\phantom{72)}\underline{\phantom{999}432\phantom{9}}\\\phantom{72)9999}590\\\phantom{72)}\underline{\phantom{9999}576\phantom{}}\\\phantom{72)99999}14\\\end{array}$$

Since 14 is less than 72, stop the division. The reminder is 14. The topmost line 0047968 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47968.

$$\text{Quotient: }47968 \text{Reminder: }14$$

Factor

$$\frac{5 \cdot 13 \cdot 31 \cdot 857}{2 ^ {2} \cdot 3 ^ {2}} = 47968\frac{7}{36} = 47968.194444444445$$