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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 483 · 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. 1.56232 ÷ 97 =
  2. 2.999248 ÷ 989 =
  3. 3.41170 ÷ 97 =
  4. 4.12089 ÷ 89 =
  5. 5.35583 ÷ 88 =
  6. 6.797347 ÷ 897 =
  7. 7.374844 ÷ 989 =
  8. 8.54008 ÷ 98 =
  9. 9.29383 ÷ 89 =
  10. 10.585628 ÷ 988 =
  11. 11.9511 ÷ 89 =
  12. 12.13448 ÷ 997 =
  13. 13.2419 ÷ 8 =
  14. 14.677422 ÷ 998 =
  15. 15.554675 ÷ 897 =
  16. 16.46415 ÷ 96 =
  17. 17.19887 ÷ 88 =
  18. 18.89394 ÷ 96 =
  19. 19.661697 ÷ 897 =
  20. 20.70383 ÷ 97 =
  21. 21.79300 ÷ 98 =
  22. 22.125824 ÷ 998 =
  23. 23.6338 ÷ 89 =
  24. 24.98785 ÷ 96 =
  25. 25.27269 ÷ 988 =
  26. 26.97979 ÷ 97 =
  27. 27.33340 ÷ 98 =
  28. 28.4037 ÷ 96 =
  29. 29.47502 ÷ 89 =
  30. 30.2519 ÷ 89 =
  31. 31.57881 ÷ 88 =
  32. 32.340231 ÷ 998 =
  33. 33.31197 ÷ 96 =
  34. 34.427091 ÷ 997 =
  35. 35.2865 ÷ 8 =
  36. 36.28967 ÷ 97 =
  37. 37.694325 ÷ 897 =
  38. 38.891994 ÷ 998 =
  39. 39.735 ÷ 8 =
  40. 40.102285 ÷ 989 =

Answer key

  1. 579 rem 69
  2. 1010 rem 358
  3. 424 rem 42
  4. 135 rem 74
  5. 404 rem 31
  6. 888 rem 811
  7. 379 rem 13
  8. 551 rem 10
  9. 330 rem 13
  10. 592 rem 732
  11. 106 rem 77
  12. 13 rem 487
  13. 302 rem 3
  14. 678 rem 778
  15. 618 rem 329
  16. 483 rem 47
  17. 225 rem 87
  18. 931 rem 18
  19. 737 rem 608
  20. 725 rem 58
  21. 809 rem 18
  22. 126 rem 76
  23. 71 rem 19
  24. 1029 rem 1
  25. 27 rem 593
  26. 1010 rem 9
  27. 340 rem 20
  28. 42 rem 5
  29. 533 rem 65
  30. 28 rem 27
  31. 657 rem 65
  32. 340 rem 911
  33. 324 rem 93
  34. 428 rem 375
  35. 358 rem 1
  36. 298 rem 61
  37. 774 rem 47
  38. 893 rem 780
  39. 91 rem 7
  40. 103 rem 418

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