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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 40 · 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. 1.45770 ÷ 989 =
  2. 2.14369 ÷ 98 =
  3. 3.99894 ÷ 97 =
  4. 4.45091 ÷ 98 =
  5. 5.40559 ÷ 98 =
  6. 6.283786 ÷ 998 =
  7. 7.398141 ÷ 988 =
  8. 8.46047 ÷ 89 =
  9. 9.16959 ÷ 96 =
  10. 10.47250 ÷ 989 =
  11. 11.19665 ÷ 97 =
  12. 12.423375 ÷ 997 =
  13. 13.9867 ÷ 8 =
  14. 14.458552 ÷ 998 =
  15. 15.278667 ÷ 998 =
  16. 16.77456 ÷ 98 =
  17. 17.70328 ÷ 89 =
  18. 18.704330 ÷ 988 =
  19. 19.236388 ÷ 997 =
  20. 20.81907 ÷ 88 =
  21. 21.46590 ÷ 98 =
  22. 22.99419 ÷ 998 =
  23. 23.621256 ÷ 897 =
  24. 24.67698 ÷ 97 =
  25. 25.1661 ÷ 8 =
  26. 26.45159 ÷ 96 =
  27. 27.83008 ÷ 96 =
  28. 28.858958 ÷ 897 =
  29. 29.95540 ÷ 98 =
  30. 30.91643 ÷ 89 =
  31. 31.4935 ÷ 8 =
  32. 32.460122 ÷ 988 =
  33. 33.80006 ÷ 98 =
  34. 34.12157 ÷ 98 =
  35. 35.30231 ÷ 96 =
  36. 36.46081 ÷ 989 =
  37. 37.91750 ÷ 97 =
  38. 38.12897 ÷ 96 =
  39. 39.42490 ÷ 88 =
  40. 40.1274 ÷ 98 =

Answer key

  1. 46 rem 276
  2. 146 rem 61
  3. 1029 rem 81
  4. 460 rem 11
  5. 413 rem 85
  6. 284 rem 354
  7. 402 rem 965
  8. 517 rem 34
  9. 176 rem 63
  10. 47 rem 767
  11. 202 rem 71
  12. 424 rem 647
  13. 1233 rem 3
  14. 459 rem 470
  15. 279 rem 225
  16. 790 rem 36
  17. 790 rem 18
  18. 712 rem 874
  19. 237 rem 99
  20. 930 rem 67
  21. 475 rem 40
  22. 99 rem 617
  23. 692 rem 532
  24. 697 rem 89
  25. 207 rem 5
  26. 470 rem 39
  27. 864 rem 64
  28. 957 rem 529
  29. 974 rem 88
  30. 1029 rem 62
  31. 616 rem 7
  32. 465 rem 702
  33. 816 rem 38
  34. 124 rem 5
  35. 314 rem 87
  36. 46 rem 587
  37. 945 rem 85
  38. 134 rem 33
  39. 482 rem 74
  40. 13 rem 0

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