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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 22 · 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. 1.208698 ÷ 897 =
  2. 2.89563 ÷ 98 =
  3. 3.231588 ÷ 998 =
  4. 4.48641 ÷ 96 =
  5. 5.2878 ÷ 8 =
  6. 6.263737 ÷ 989 =
  7. 7.577233 ÷ 989 =
  8. 8.83221 ÷ 89 =
  9. 9.794763 ÷ 988 =
  10. 10.861887 ÷ 998 =
  11. 11.88449 ÷ 89 =
  12. 12.78309 ÷ 97 =
  13. 13.728006 ÷ 897 =
  14. 14.3994 ÷ 98 =
  15. 15.909004 ÷ 997 =
  16. 16.646326 ÷ 988 =
  17. 17.1489 ÷ 8 =
  18. 18.735076 ÷ 897 =
  19. 19.410 ÷ 8 =
  20. 20.719625 ÷ 998 =
  21. 21.57063 ÷ 96 =
  22. 22.73394 ÷ 96 =
  23. 23.16251 ÷ 97 =
  24. 24.161162 ÷ 998 =
  25. 25.287215 ÷ 897 =
  26. 26.67944 ÷ 97 =
  27. 27.62658 ÷ 89 =
  28. 28.168676 ÷ 897 =
  29. 29.58573 ÷ 88 =
  30. 30.76275 ÷ 96 =
  31. 31.62395 ÷ 98 =
  32. 32.16629 ÷ 96 =
  33. 33.171725 ÷ 998 =
  34. 34.675878 ÷ 997 =
  35. 35.135228 ÷ 998 =
  36. 36.3415 ÷ 8 =
  37. 37.4913 ÷ 8 =
  38. 38.37850 ÷ 97 =
  39. 39.401822 ÷ 997 =
  40. 40.60493 ÷ 88 =

Answer key

  1. 232 rem 594
  2. 913 rem 89
  3. 232 rem 52
  4. 506 rem 65
  5. 359 rem 6
  6. 266 rem 663
  7. 583 rem 646
  8. 935 rem 6
  9. 804 rem 411
  10. 863 rem 613
  11. 993 rem 72
  12. 807 rem 30
  13. 811 rem 539
  14. 40 rem 74
  15. 911 rem 737
  16. 654 rem 174
  17. 186 rem 1
  18. 819 rem 433
  19. 51 rem 2
  20. 721 rem 67
  21. 594 rem 39
  22. 764 rem 50
  23. 167 rem 52
  24. 161 rem 484
  25. 320 rem 175
  26. 700 rem 44
  27. 704 rem 2
  28. 188 rem 40
  29. 665 rem 53
  30. 794 rem 51
  31. 636 rem 67
  32. 173 rem 21
  33. 172 rem 69
  34. 677 rem 909
  35. 135 rem 498
  36. 426 rem 7
  37. 614 rem 1
  38. 390 rem 20
  39. 403 rem 31
  40. 687 rem 37

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