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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 815 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.856842 ÷ 897 =
  2. 2.41315 ÷ 88 =
  3. 3.840850 ÷ 989 =
  4. 4.64081 ÷ 98 =
  5. 5.564042 ÷ 988 =
  6. 6.3531 ÷ 8 =
  7. 7.4136 ÷ 8 =
  8. 8.581047 ÷ 988 =
  9. 9.990744 ÷ 997 =
  10. 10.69927 ÷ 89 =
  11. 11.346092 ÷ 897 =
  12. 12.300317 ÷ 989 =
  13. 13.4528 ÷ 96 =
  14. 14.40581 ÷ 96 =
  15. 15.49771 ÷ 97 =
  16. 16.493351 ÷ 897 =
  17. 17.31408 ÷ 96 =
  18. 18.477614 ÷ 997 =
  19. 19.73427 ÷ 96 =
  20. 20.56306 ÷ 98 =
  21. 21.99146 ÷ 96 =
  22. 22.998946 ÷ 997 =
  23. 23.33474 ÷ 88 =
  24. 24.47536 ÷ 97 =
  25. 25.65836 ÷ 88 =
  26. 26.29007 ÷ 88 =
  27. 27.576925 ÷ 897 =
  28. 28.805366 ÷ 897 =
  29. 29.22909 ÷ 97 =
  30. 30.803767 ÷ 989 =
  31. 31.19547 ÷ 988 =
  32. 32.82199 ÷ 98 =
  33. 33.18107 ÷ 89 =
  34. 34.82896 ÷ 97 =
  35. 35.15727 ÷ 98 =
  36. 36.98932 ÷ 98 =
  37. 37.42493 ÷ 98 =
  38. 38.618 ÷ 8 =
  39. 39.55365 ÷ 88 =
  40. 40.313587 ÷ 989 =

Answer key

  1. 955 rem 207
  2. 469 rem 43
  3. 850 rem 200
  4. 653 rem 87
  5. 570 rem 882
  6. 441 rem 3
  7. 517 rem 0
  8. 588 rem 103
  9. 993 rem 723
  10. 785 rem 62
  11. 385 rem 747
  12. 303 rem 650
  13. 47 rem 16
  14. 422 rem 69
  15. 513 rem 10
  16. 550 rem 1
  17. 327 rem 16
  18. 479 rem 51
  19. 764 rem 83
  20. 574 rem 54
  21. 1032 rem 74
  22. 1001 rem 949
  23. 380 rem 34
  24. 490 rem 6
  25. 748 rem 12
  26. 329 rem 55
  27. 643 rem 154
  28. 897 rem 757
  29. 236 rem 17
  30. 812 rem 699
  31. 19 rem 775
  32. 838 rem 75
  33. 203 rem 40
  34. 854 rem 58
  35. 160 rem 47
  36. 1009 rem 50
  37. 433 rem 59
  38. 77 rem 2
  39. 629 rem 13
  40. 317 rem 74

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