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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 597 · 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. 1.720962 ÷ 989 =
  2. 2.44813 ÷ 97 =
  3. 3.7559 ÷ 98 =
  4. 4.99547 ÷ 88 =
  5. 5.96818 ÷ 89 =
  6. 6.65176 ÷ 97 =
  7. 7.6664 ÷ 8 =
  8. 8.48363 ÷ 989 =
  9. 9.71576 ÷ 89 =
  10. 10.83363 ÷ 98 =
  11. 11.37878 ÷ 96 =
  12. 12.1598 ÷ 8 =
  13. 13.292616 ÷ 988 =
  14. 14.45358 ÷ 97 =
  15. 15.28633 ÷ 89 =
  16. 16.67142 ÷ 98 =
  17. 17.83678 ÷ 88 =
  18. 18.687990 ÷ 897 =
  19. 19.607815 ÷ 998 =
  20. 20.45317 ÷ 96 =
  21. 21.809350 ÷ 998 =
  22. 22.813121 ÷ 989 =
  23. 23.68504 ÷ 98 =
  24. 24.29376 ÷ 97 =
  25. 25.379539 ÷ 988 =
  26. 26.19056 ÷ 96 =
  27. 27.12337 ÷ 96 =
  28. 28.6059 ÷ 8 =
  29. 29.415730 ÷ 989 =
  30. 30.15629 ÷ 98 =
  31. 31.312596 ÷ 998 =
  32. 32.42525 ÷ 98 =
  33. 33.32728 ÷ 989 =
  34. 34.873 ÷ 8 =
  35. 35.688325 ÷ 998 =
  36. 36.46657 ÷ 98 =
  37. 37.23331 ÷ 98 =
  38. 38.795022 ÷ 988 =
  39. 39.5498 ÷ 89 =
  40. 40.17460 ÷ 89 =

Answer key

  1. 728 rem 970
  2. 461 rem 96
  3. 77 rem 13
  4. 1131 rem 19
  5. 1087 rem 75
  6. 671 rem 89
  7. 833 rem 0
  8. 48 rem 891
  9. 804 rem 20
  10. 850 rem 63
  11. 394 rem 54
  12. 199 rem 6
  13. 296 rem 168
  14. 467 rem 59
  15. 321 rem 64
  16. 685 rem 12
  17. 950 rem 78
  18. 766 rem 888
  19. 609 rem 33
  20. 472 rem 5
  21. 810 rem 970
  22. 822 rem 163
  23. 699 rem 2
  24. 302 rem 82
  25. 384 rem 147
  26. 198 rem 48
  27. 128 rem 49
  28. 757 rem 3
  29. 420 rem 350
  30. 159 rem 47
  31. 313 rem 222
  32. 433 rem 91
  33. 33 rem 91
  34. 109 rem 1
  35. 689 rem 703
  36. 476 rem 9
  37. 238 rem 7
  38. 804 rem 670
  39. 61 rem 69
  40. 196 rem 16

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