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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 991 · 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. 1.849328 ÷ 998 =
  2. 2.116898 ÷ 997 =
  3. 3.921265 ÷ 997 =
  4. 4.1823 ÷ 8 =
  5. 5.84527 ÷ 89 =
  6. 6.27800 ÷ 96 =
  7. 7.280484 ÷ 997 =
  8. 8.666518 ÷ 897 =
  9. 9.23719 ÷ 897 =
  10. 10.33924 ÷ 89 =
  11. 11.927805 ÷ 997 =
  12. 12.74707 ÷ 88 =
  13. 13.97573 ÷ 89 =
  14. 14.26815 ÷ 98 =
  15. 15.7586 ÷ 98 =
  16. 16.690038 ÷ 997 =
  17. 17.522461 ÷ 998 =
  18. 18.35834 ÷ 98 =
  19. 19.903077 ÷ 989 =
  20. 20.16326 ÷ 88 =
  21. 21.65266 ÷ 88 =
  22. 22.97270 ÷ 89 =
  23. 23.88042 ÷ 98 =
  24. 24.493022 ÷ 897 =
  25. 25.54306 ÷ 98 =
  26. 26.18030 ÷ 88 =
  27. 27.656893 ÷ 998 =
  28. 28.167622 ÷ 989 =
  29. 29.5624 ÷ 8 =
  30. 30.852024 ÷ 997 =
  31. 31.63461 ÷ 88 =
  32. 32.568658 ÷ 897 =
  33. 33.8011 ÷ 8 =
  34. 34.75320 ÷ 89 =
  35. 35.17669 ÷ 88 =
  36. 36.56897 ÷ 96 =
  37. 37.98466 ÷ 897 =
  38. 38.96949 ÷ 88 =
  39. 39.3266 ÷ 97 =
  40. 40.512783 ÷ 897 =

Answer key

  1. 851 rem 30
  2. 117 rem 249
  3. 924 rem 37
  4. 227 rem 7
  5. 949 rem 66
  6. 289 rem 56
  7. 281 rem 327
  8. 743 rem 47
  9. 26 rem 397
  10. 381 rem 15
  11. 930 rem 595
  12. 848 rem 83
  13. 1096 rem 29
  14. 273 rem 61
  15. 77 rem 40
  16. 692 rem 114
  17. 523 rem 507
  18. 365 rem 64
  19. 913 rem 120
  20. 185 rem 46
  21. 741 rem 58
  22. 1092 rem 82
  23. 898 rem 38
  24. 549 rem 569
  25. 554 rem 14
  26. 204 rem 78
  27. 658 rem 209
  28. 169 rem 481
  29. 703 rem 0
  30. 854 rem 586
  31. 721 rem 13
  32. 633 rem 857
  33. 1001 rem 3
  34. 846 rem 26
  35. 200 rem 69
  36. 592 rem 65
  37. 109 rem 693
  38. 1101 rem 61
  39. 33 rem 65
  40. 571 rem 596

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