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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 270 · 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. 1.59210 ÷ 88 =
  2. 2.36458 ÷ 89 =
  3. 3.62815 ÷ 89 =
  4. 4.93574 ÷ 88 =
  5. 5.433677 ÷ 989 =
  6. 6.14921 ÷ 88 =
  7. 7.54222 ÷ 97 =
  8. 8.341870 ÷ 897 =
  9. 9.9908 ÷ 96 =
  10. 10.820642 ÷ 897 =
  11. 11.290183 ÷ 897 =
  12. 12.4243 ÷ 97 =
  13. 13.10674 ÷ 96 =
  14. 14.13890 ÷ 97 =
  15. 15.724720 ÷ 897 =
  16. 16.63506 ÷ 89 =
  17. 17.410602 ÷ 997 =
  18. 18.17544 ÷ 89 =
  19. 19.60237 ÷ 96 =
  20. 20.1594 ÷ 89 =
  21. 21.319014 ÷ 897 =
  22. 22.85522 ÷ 89 =
  23. 23.206093 ÷ 988 =
  24. 24.336490 ÷ 989 =
  25. 25.54333 ÷ 88 =
  26. 26.563225 ÷ 989 =
  27. 27.244067 ÷ 998 =
  28. 28.5507 ÷ 8 =
  29. 29.803904 ÷ 988 =
  30. 30.902705 ÷ 998 =
  31. 31.615140 ÷ 897 =
  32. 32.6188 ÷ 98 =
  33. 33.9210 ÷ 97 =
  34. 34.34328 ÷ 96 =
  35. 35.4346 ÷ 8 =
  36. 36.889 ÷ 8 =
  37. 37.769765 ÷ 897 =
  38. 38.462162 ÷ 989 =
  39. 39.52260 ÷ 97 =
  40. 40.206698 ÷ 988 =

Answer key

  1. 672 rem 74
  2. 409 rem 57
  3. 705 rem 70
  4. 1063 rem 30
  5. 438 rem 495
  6. 169 rem 49
  7. 558 rem 96
  8. 381 rem 113
  9. 103 rem 20
  10. 914 rem 784
  11. 323 rem 452
  12. 43 rem 72
  13. 111 rem 18
  14. 143 rem 19
  15. 807 rem 841
  16. 713 rem 49
  17. 411 rem 835
  18. 197 rem 11
  19. 627 rem 45
  20. 17 rem 81
  21. 355 rem 579
  22. 960 rem 82
  23. 208 rem 589
  24. 340 rem 230
  25. 617 rem 37
  26. 569 rem 484
  27. 244 rem 555
  28. 688 rem 3
  29. 813 rem 660
  30. 904 rem 513
  31. 685 rem 695
  32. 63 rem 14
  33. 94 rem 92
  34. 357 rem 56
  35. 543 rem 2
  36. 111 rem 1
  37. 858 rem 139
  38. 467 rem 299
  39. 538 rem 74
  40. 209 rem 206

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