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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 427 · 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. 1.94172 ÷ 89 =
  2. 2.99789 ÷ 89 =
  3. 3.61264 ÷ 98 =
  4. 4.896622 ÷ 998 =
  5. 5.234702 ÷ 897 =
  6. 6.43683 ÷ 88 =
  7. 7.811 ÷ 8 =
  8. 8.723028 ÷ 988 =
  9. 9.607906 ÷ 897 =
  10. 10.16758 ÷ 88 =
  11. 11.9141 ÷ 8 =
  12. 12.16068 ÷ 98 =
  13. 13.443683 ÷ 998 =
  14. 14.192441 ÷ 997 =
  15. 15.12260 ÷ 88 =
  16. 16.43060 ÷ 998 =
  17. 17.655397 ÷ 998 =
  18. 18.11214 ÷ 96 =
  19. 19.16381 ÷ 89 =
  20. 20.56924 ÷ 97 =
  21. 21.172262 ÷ 997 =
  22. 22.782996 ÷ 989 =
  23. 23.10733 ÷ 98 =
  24. 24.69703 ÷ 96 =
  25. 25.15916 ÷ 96 =
  26. 26.188154 ÷ 988 =
  27. 27.239325 ÷ 997 =
  28. 28.389437 ÷ 897 =
  29. 29.548289 ÷ 897 =
  30. 30.33825 ÷ 89 =
  31. 31.36601 ÷ 97 =
  32. 32.83671 ÷ 89 =
  33. 33.891193 ÷ 997 =
  34. 34.71588 ÷ 89 =
  35. 35.18714 ÷ 89 =
  36. 36.49352 ÷ 89 =
  37. 37.96484 ÷ 89 =
  38. 38.76937 ÷ 98 =
  39. 39.511949 ÷ 997 =
  40. 40.418599 ÷ 988 =

Answer key

  1. 1058 rem 10
  2. 1121 rem 20
  3. 625 rem 14
  4. 898 rem 418
  5. 261 rem 585
  6. 496 rem 35
  7. 101 rem 3
  8. 731 rem 800
  9. 677 rem 637
  10. 190 rem 38
  11. 1142 rem 5
  12. 163 rem 94
  13. 444 rem 571
  14. 193 rem 20
  15. 139 rem 28
  16. 43 rem 146
  17. 656 rem 709
  18. 116 rem 78
  19. 184 rem 5
  20. 586 rem 82
  21. 172 rem 778
  22. 791 rem 697
  23. 109 rem 51
  24. 726 rem 7
  25. 165 rem 76
  26. 190 rem 434
  27. 240 rem 45
  28. 434 rem 139
  29. 611 rem 222
  30. 380 rem 5
  31. 377 rem 32
  32. 940 rem 11
  33. 893 rem 872
  34. 804 rem 32
  35. 210 rem 24
  36. 554 rem 46
  37. 1084 rem 8
  38. 785 rem 7
  39. 513 rem 488
  40. 423 rem 675

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