Solve 816000div121

$$816000 \div 121$$

Evaluate

$$\frac{816000}{121}\approx 6743.801652893$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 816000

$$\begin{array}{l}\phantom{121)}\phantom{1}\\121\overline{)816000}\\\end{array}$$

Since 8 is less than 121, use the next digit 1 from dividend 816000 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}0\phantom{2}\\121\overline{)816000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 816000

$$\begin{array}{l}\phantom{121)}0\phantom{3}\\121\overline{)816000}\\\end{array}$$

Since 81 is less than 121, use the next digit 6 from dividend 816000 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}00\phantom{4}\\121\overline{)816000}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 816000

$$\begin{array}{l}\phantom{121)}00\phantom{5}\\121\overline{)816000}\\\end{array}$$

Find closest multiple of 121 to 816. We see that 6 \times 121 = 726 is the nearest. Now subtract 726 from 816 to get reminder 90. Add 6 to quotient.

$$\begin{array}{l}\phantom{121)}006\phantom{6}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}90\\\end{array}$$

Use the 4^{th} digit 0 from dividend 816000

$$\begin{array}{l}\phantom{121)}006\phantom{7}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\end{array}$$

Find closest multiple of 121 to 900. We see that 7 \times 121 = 847 is the nearest. Now subtract 847 from 900 to get reminder 53. Add 7 to quotient.

$$\begin{array}{l}\phantom{121)}0067\phantom{8}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\phantom{121)}\underline{\phantom{9}847\phantom{99}}\\\phantom{121)99}53\\\end{array}$$

Use the 5^{th} digit 0 from dividend 816000

$$\begin{array}{l}\phantom{121)}0067\phantom{9}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\phantom{121)}\underline{\phantom{9}847\phantom{99}}\\\phantom{121)99}530\\\end{array}$$

Find closest multiple of 121 to 530. We see that 4 \times 121 = 484 is the nearest. Now subtract 484 from 530 to get reminder 46. Add 4 to quotient.

$$\begin{array}{l}\phantom{121)}00674\phantom{10}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\phantom{121)}\underline{\phantom{9}847\phantom{99}}\\\phantom{121)99}530\\\phantom{121)}\underline{\phantom{99}484\phantom{9}}\\\phantom{121)999}46\\\end{array}$$

Use the 6^{th} digit 0 from dividend 816000

$$\begin{array}{l}\phantom{121)}00674\phantom{11}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\phantom{121)}\underline{\phantom{9}847\phantom{99}}\\\phantom{121)99}530\\\phantom{121)}\underline{\phantom{99}484\phantom{9}}\\\phantom{121)999}460\\\end{array}$$

Find closest multiple of 121 to 460. We see that 3 \times 121 = 363 is the nearest. Now subtract 363 from 460 to get reminder 97. Add 3 to quotient.

$$\begin{array}{l}\phantom{121)}006743\phantom{12}\\121\overline{)816000}\\\phantom{121)}\underline{\phantom{}726\phantom{999}}\\\phantom{121)9}900\\\phantom{121)}\underline{\phantom{9}847\phantom{99}}\\\phantom{121)99}530\\\phantom{121)}\underline{\phantom{99}484\phantom{9}}\\\phantom{121)999}460\\\phantom{121)}\underline{\phantom{999}363\phantom{}}\\\phantom{121)9999}97\\\end{array}$$

Since 97 is less than 121, stop the division. The reminder is 97. The topmost line 006743 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6743.

$$\text{Quotient: }6743 \text{Reminder: }97$$

Factor

$$\frac{2 ^ {7} \cdot 3 \cdot 5 ^ {3} \cdot 17}{11 ^ {2}} = 6743\frac{97}{121} = 6743.801652892562$$