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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 318 · 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. 1.5151 ÷ 8 =
  2. 2.258014 ÷ 989 =
  3. 3.51822 ÷ 88 =
  4. 4.52846 ÷ 89 =
  5. 5.885014 ÷ 997 =
  6. 6.447173 ÷ 988 =
  7. 7.563892 ÷ 989 =
  8. 8.729835 ÷ 988 =
  9. 9.9614 ÷ 8 =
  10. 10.33103 ÷ 988 =
  11. 11.73474 ÷ 98 =
  12. 12.441117 ÷ 998 =
  13. 13.346011 ÷ 997 =
  14. 14.750210 ÷ 998 =
  15. 15.438656 ÷ 998 =
  16. 16.94265 ÷ 89 =
  17. 17.33308 ÷ 96 =
  18. 18.11739 ÷ 98 =
  19. 19.43904 ÷ 98 =
  20. 20.2560 ÷ 96 =
  21. 21.442170 ÷ 989 =
  22. 22.7200 ÷ 8 =
  23. 23.13214 ÷ 88 =
  24. 24.608171 ÷ 998 =
  25. 25.64790 ÷ 89 =
  26. 26.345955 ÷ 998 =
  27. 27.340132 ÷ 988 =
  28. 28.353339 ÷ 997 =
  29. 29.76876 ÷ 97 =
  30. 30.48071 ÷ 88 =
  31. 31.17504 ÷ 89 =
  32. 32.5486 ÷ 89 =
  33. 33.9847 ÷ 89 =
  34. 34.980657 ÷ 989 =
  35. 35.63323 ÷ 98 =
  36. 36.2311 ÷ 8 =
  37. 37.30240 ÷ 897 =
  38. 38.1103 ÷ 8 =
  39. 39.24196 ÷ 988 =
  40. 40.41209 ÷ 97 =

Answer key

  1. 643 rem 7
  2. 260 rem 874
  3. 588 rem 78
  4. 593 rem 69
  5. 887 rem 675
  6. 452 rem 597
  7. 570 rem 162
  8. 738 rem 691
  9. 1201 rem 6
  10. 33 rem 499
  11. 749 rem 72
  12. 442 rem 1
  13. 347 rem 52
  14. 751 rem 712
  15. 439 rem 534
  16. 1059 rem 14
  17. 346 rem 92
  18. 119 rem 77
  19. 448 rem 0
  20. 26 rem 64
  21. 447 rem 87
  22. 900 rem 0
  23. 150 rem 14
  24. 609 rem 389
  25. 727 rem 87
  26. 346 rem 647
  27. 344 rem 260
  28. 354 rem 401
  29. 792 rem 52
  30. 546 rem 23
  31. 196 rem 60
  32. 61 rem 57
  33. 110 rem 57
  34. 991 rem 558
  35. 646 rem 15
  36. 288 rem 7
  37. 33 rem 639
  38. 137 rem 7
  39. 24 rem 484
  40. 424 rem 81

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