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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 685 · 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. 1.130985 ÷ 998 =
  2. 2.38517 ÷ 897 =
  3. 3.961352 ÷ 988 =
  4. 4.173967 ÷ 988 =
  5. 5.95481 ÷ 97 =
  6. 6.5687 ÷ 8 =
  7. 7.987505 ÷ 989 =
  8. 8.95045 ÷ 989 =
  9. 9.18419 ÷ 989 =
  10. 10.91283 ÷ 88 =
  11. 11.29625 ÷ 89 =
  12. 12.92460 ÷ 98 =
  13. 13.16874 ÷ 98 =
  14. 14.824522 ÷ 998 =
  15. 15.1846 ÷ 8 =
  16. 16.51342 ÷ 89 =
  17. 17.1671 ÷ 8 =
  18. 18.185871 ÷ 998 =
  19. 19.46402 ÷ 88 =
  20. 20.201697 ÷ 998 =
  21. 21.76082 ÷ 96 =
  22. 22.23664 ÷ 89 =
  23. 23.42783 ÷ 98 =
  24. 24.54490 ÷ 89 =
  25. 25.782816 ÷ 998 =
  26. 26.9150 ÷ 97 =
  27. 27.4068 ÷ 8 =
  28. 28.38191 ÷ 98 =
  29. 29.3158 ÷ 98 =
  30. 30.264218 ÷ 988 =
  31. 31.60827 ÷ 88 =
  32. 32.40031 ÷ 98 =
  33. 33.760252 ÷ 997 =
  34. 34.465086 ÷ 998 =
  35. 35.268026 ÷ 989 =
  36. 36.614605 ÷ 997 =
  37. 37.52860 ÷ 96 =
  38. 38.37853 ÷ 96 =
  39. 39.365038 ÷ 989 =
  40. 40.63691 ÷ 98 =

Answer key

  1. 131 rem 247
  2. 42 rem 843
  3. 973 rem 28
  4. 176 rem 79
  5. 984 rem 33
  6. 710 rem 7
  7. 998 rem 483
  8. 96 rem 101
  9. 18 rem 617
  10. 1037 rem 27
  11. 332 rem 77
  12. 943 rem 46
  13. 172 rem 18
  14. 826 rem 174
  15. 230 rem 6
  16. 576 rem 78
  17. 208 rem 7
  18. 186 rem 243
  19. 527 rem 26
  20. 202 rem 101
  21. 792 rem 50
  22. 265 rem 79
  23. 436 rem 55
  24. 612 rem 22
  25. 784 rem 384
  26. 94 rem 32
  27. 508 rem 4
  28. 389 rem 69
  29. 32 rem 22
  30. 267 rem 422
  31. 691 rem 19
  32. 408 rem 47
  33. 762 rem 538
  34. 466 rem 18
  35. 271 rem 7
  36. 616 rem 453
  37. 550 rem 60
  38. 394 rem 29
  39. 369 rem 97
  40. 649 rem 89

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