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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 826 · 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. 1.210453 ÷ 988 =
  2. 2.15694 ÷ 96 =
  3. 3.247636 ÷ 997 =
  4. 4.419280 ÷ 989 =
  5. 5.998357 ÷ 897 =
  6. 6.15058 ÷ 96 =
  7. 7.465325 ÷ 988 =
  8. 8.49506 ÷ 88 =
  9. 9.5725 ÷ 8 =
  10. 10.592942 ÷ 989 =
  11. 11.503831 ÷ 897 =
  12. 12.1656 ÷ 8 =
  13. 13.76623 ÷ 88 =
  14. 14.93651 ÷ 89 =
  15. 15.75778 ÷ 988 =
  16. 16.755679 ÷ 997 =
  17. 17.68795 ÷ 98 =
  18. 18.654640 ÷ 998 =
  19. 19.561071 ÷ 988 =
  20. 20.621926 ÷ 988 =
  21. 21.8574 ÷ 8 =
  22. 22.569928 ÷ 988 =
  23. 23.94309 ÷ 88 =
  24. 24.700116 ÷ 998 =
  25. 25.768363 ÷ 997 =
  26. 26.725203 ÷ 897 =
  27. 27.813065 ÷ 998 =
  28. 28.73193 ÷ 88 =
  29. 29.5437 ÷ 8 =
  30. 30.80324 ÷ 997 =
  31. 31.710168 ÷ 997 =
  32. 32.21495 ÷ 97 =
  33. 33.13847 ÷ 98 =
  34. 34.15579 ÷ 96 =
  35. 35.772995 ÷ 988 =
  36. 36.32927 ÷ 89 =
  37. 37.85638 ÷ 98 =
  38. 38.94522 ÷ 88 =
  39. 39.49317 ÷ 98 =
  40. 40.871179 ÷ 989 =

Answer key

  1. 213 rem 9
  2. 163 rem 46
  3. 248 rem 380
  4. 423 rem 933
  5. 1112 rem 893
  6. 156 rem 82
  7. 470 rem 965
  8. 562 rem 50
  9. 715 rem 5
  10. 599 rem 531
  11. 561 rem 614
  12. 207 rem 0
  13. 870 rem 63
  14. 1052 rem 23
  15. 76 rem 690
  16. 757 rem 950
  17. 701 rem 97
  18. 655 rem 950
  19. 567 rem 875
  20. 629 rem 474
  21. 1071 rem 6
  22. 576 rem 840
  23. 1071 rem 61
  24. 701 rem 518
  25. 770 rem 673
  26. 808 rem 427
  27. 814 rem 693
  28. 831 rem 65
  29. 679 rem 5
  30. 80 rem 564
  31. 712 rem 304
  32. 221 rem 58
  33. 141 rem 29
  34. 162 rem 27
  35. 782 rem 379
  36. 369 rem 86
  37. 873 rem 84
  38. 1074 rem 10
  39. 503 rem 23
  40. 880 rem 859

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