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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 216 · 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. 1.8850 ÷ 88 =
  2. 2.648050 ÷ 989 =
  3. 3.66898 ÷ 97 =
  4. 4.349351 ÷ 998 =
  5. 5.11586 ÷ 97 =
  6. 6.61804 ÷ 97 =
  7. 7.30871 ÷ 997 =
  8. 8.36621 ÷ 96 =
  9. 9.158955 ÷ 998 =
  10. 10.994602 ÷ 897 =
  11. 11.847214 ÷ 998 =
  12. 12.791639 ÷ 997 =
  13. 13.9434 ÷ 8 =
  14. 14.13051 ÷ 96 =
  15. 15.12595 ÷ 96 =
  16. 16.65982 ÷ 96 =
  17. 17.82634 ÷ 88 =
  18. 18.3752 ÷ 88 =
  19. 19.296519 ÷ 897 =
  20. 20.6204 ÷ 8 =
  21. 21.403903 ÷ 998 =
  22. 22.821729 ÷ 997 =
  23. 23.420790 ÷ 897 =
  24. 24.2311 ÷ 8 =
  25. 25.11383 ÷ 96 =
  26. 26.858761 ÷ 989 =
  27. 27.399512 ÷ 897 =
  28. 28.626527 ÷ 997 =
  29. 29.723464 ÷ 997 =
  30. 30.5643 ÷ 8 =
  31. 31.41932 ÷ 97 =
  32. 32.4473 ÷ 88 =
  33. 33.9680 ÷ 8 =
  34. 34.278627 ÷ 897 =
  35. 35.542761 ÷ 989 =
  36. 36.52204 ÷ 88 =
  37. 37.71227 ÷ 98 =
  38. 38.736164 ÷ 998 =
  39. 39.63754 ÷ 98 =
  40. 40.602744 ÷ 988 =

Answer key

  1. 100 rem 50
  2. 655 rem 255
  3. 689 rem 65
  4. 350 rem 51
  5. 119 rem 43
  6. 637 rem 15
  7. 30 rem 961
  8. 381 rem 45
  9. 159 rem 273
  10. 1108 rem 726
  11. 848 rem 910
  12. 794 rem 21
  13. 1179 rem 2
  14. 135 rem 91
  15. 131 rem 19
  16. 687 rem 30
  17. 939 rem 2
  18. 42 rem 56
  19. 330 rem 509
  20. 775 rem 4
  21. 404 rem 711
  22. 824 rem 201
  23. 469 rem 97
  24. 288 rem 7
  25. 118 rem 55
  26. 868 rem 309
  27. 445 rem 347
  28. 628 rem 411
  29. 725 rem 639
  30. 705 rem 3
  31. 432 rem 28
  32. 50 rem 73
  33. 1210 rem 0
  34. 310 rem 557
  35. 548 rem 789
  36. 593 rem 20
  37. 726 rem 79
  38. 737 rem 638
  39. 650 rem 54
  40. 610 rem 64

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