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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 178 · 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. 1.51199 ÷ 98 =
  2. 2.468988 ÷ 989 =
  3. 3.51865 ÷ 96 =
  4. 4.278518 ÷ 998 =
  5. 5.57842 ÷ 88 =
  6. 6.729636 ÷ 997 =
  7. 7.11996 ÷ 88 =
  8. 8.70682 ÷ 97 =
  9. 9.47428 ÷ 998 =
  10. 10.66424 ÷ 89 =
  11. 11.77476 ÷ 98 =
  12. 12.55653 ÷ 89 =
  13. 13.611263 ÷ 989 =
  14. 14.11093 ÷ 89 =
  15. 15.134484 ÷ 989 =
  16. 16.45932 ÷ 96 =
  17. 17.609213 ÷ 989 =
  18. 18.46251 ÷ 98 =
  19. 19.68458 ÷ 97 =
  20. 20.467225 ÷ 997 =
  21. 21.38917 ÷ 97 =
  22. 22.50177 ÷ 88 =
  23. 23.481413 ÷ 989 =
  24. 24.692757 ÷ 998 =
  25. 25.7498 ÷ 89 =
  26. 26.139411 ÷ 998 =
  27. 27.61996 ÷ 88 =
  28. 28.4873 ÷ 98 =
  29. 29.35213 ÷ 89 =
  30. 30.56387 ÷ 88 =
  31. 31.543842 ÷ 997 =
  32. 32.76218 ÷ 96 =
  33. 33.47536 ÷ 897 =
  34. 34.818665 ÷ 989 =
  35. 35.30339 ÷ 998 =
  36. 36.85637 ÷ 98 =
  37. 37.240012 ÷ 997 =
  38. 38.33787 ÷ 97 =
  39. 39.16770 ÷ 997 =
  40. 40.58321 ÷ 89 =

Answer key

  1. 522 rem 43
  2. 474 rem 202
  3. 540 rem 25
  4. 279 rem 76
  5. 657 rem 26
  6. 731 rem 829
  7. 136 rem 28
  8. 728 rem 66
  9. 47 rem 522
  10. 746 rem 30
  11. 790 rem 56
  12. 625 rem 28
  13. 618 rem 61
  14. 124 rem 57
  15. 135 rem 969
  16. 478 rem 44
  17. 615 rem 978
  18. 471 rem 93
  19. 705 rem 73
  20. 468 rem 629
  21. 401 rem 20
  22. 570 rem 17
  23. 486 rem 759
  24. 694 rem 145
  25. 84 rem 22
  26. 139 rem 689
  27. 704 rem 44
  28. 49 rem 71
  29. 395 rem 58
  30. 640 rem 67
  31. 545 rem 477
  32. 793 rem 90
  33. 52 rem 892
  34. 827 rem 762
  35. 30 rem 399
  36. 873 rem 83
  37. 240 rem 732
  38. 348 rem 31
  39. 16 rem 818
  40. 655 rem 26

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