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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 303 · 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. 1.73692 ÷ 98 =
  2. 2.774813 ÷ 998 =
  3. 3.399580 ÷ 989 =
  4. 4.617377 ÷ 989 =
  5. 5.31108 ÷ 89 =
  6. 6.351632 ÷ 997 =
  7. 7.448812 ÷ 997 =
  8. 8.48693 ÷ 98 =
  9. 9.16193 ÷ 96 =
  10. 10.94396 ÷ 98 =
  11. 11.400455 ÷ 988 =
  12. 12.121020 ÷ 998 =
  13. 13.20656 ÷ 98 =
  14. 14.33128 ÷ 88 =
  15. 15.71927 ÷ 88 =
  16. 16.20556 ÷ 89 =
  17. 17.63727 ÷ 96 =
  18. 18.64419 ÷ 96 =
  19. 19.26012 ÷ 97 =
  20. 20.241067 ÷ 989 =
  21. 21.58562 ÷ 98 =
  22. 22.49939 ÷ 97 =
  23. 23.823288 ÷ 998 =
  24. 24.716077 ÷ 997 =
  25. 25.27455 ÷ 98 =
  26. 26.46215 ÷ 97 =
  27. 27.46907 ÷ 96 =
  28. 28.93694 ÷ 89 =
  29. 29.203121 ÷ 989 =
  30. 30.237352 ÷ 998 =
  31. 31.542793 ÷ 897 =
  32. 32.6089 ÷ 8 =
  33. 33.90096 ÷ 97 =
  34. 34.721937 ÷ 998 =
  35. 35.80308 ÷ 88 =
  36. 36.66572 ÷ 96 =
  37. 37.377152 ÷ 998 =
  38. 38.8493 ÷ 8 =
  39. 39.35928 ÷ 98 =
  40. 40.594920 ÷ 989 =

Answer key

  1. 751 rem 94
  2. 776 rem 365
  3. 404 rem 24
  4. 624 rem 241
  5. 349 rem 47
  6. 352 rem 688
  7. 450 rem 162
  8. 496 rem 85
  9. 168 rem 65
  10. 963 rem 22
  11. 405 rem 315
  12. 121 rem 262
  13. 210 rem 76
  14. 376 rem 40
  15. 817 rem 31
  16. 230 rem 86
  17. 663 rem 79
  18. 671 rem 3
  19. 268 rem 16
  20. 243 rem 740
  21. 597 rem 56
  22. 514 rem 81
  23. 824 rem 936
  24. 718 rem 231
  25. 280 rem 15
  26. 476 rem 43
  27. 488 rem 59
  28. 1052 rem 66
  29. 205 rem 376
  30. 237 rem 826
  31. 605 rem 108
  32. 761 rem 1
  33. 928 rem 80
  34. 723 rem 383
  35. 912 rem 52
  36. 693 rem 44
  37. 377 rem 906
  38. 1061 rem 5
  39. 366 rem 60
  40. 601 rem 531

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