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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 785 · 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. 1.7349 ÷ 8 =
  2. 2.74248 ÷ 88 =
  3. 3.200004 ÷ 897 =
  4. 4.888985 ÷ 998 =
  5. 5.553613 ÷ 988 =
  6. 6.21482 ÷ 88 =
  7. 7.70774 ÷ 96 =
  8. 8.394637 ÷ 897 =
  9. 9.9250 ÷ 96 =
  10. 10.324478 ÷ 997 =
  11. 11.33874 ÷ 97 =
  12. 12.7012 ÷ 8 =
  13. 13.2563 ÷ 8 =
  14. 14.679340 ÷ 998 =
  15. 15.648513 ÷ 997 =
  16. 16.917309 ÷ 988 =
  17. 17.677574 ÷ 997 =
  18. 18.11891 ÷ 97 =
  19. 19.508090 ÷ 988 =
  20. 20.21521 ÷ 89 =
  21. 21.48626 ÷ 97 =
  22. 22.227051 ÷ 998 =
  23. 23.5429 ÷ 8 =
  24. 24.8441 ÷ 88 =
  25. 25.61164 ÷ 88 =
  26. 26.719511 ÷ 988 =
  27. 27.870275 ÷ 988 =
  28. 28.87363 ÷ 97 =
  29. 29.8841 ÷ 98 =
  30. 30.68915 ÷ 997 =
  31. 31.293269 ÷ 989 =
  32. 32.750129 ÷ 988 =
  33. 33.9499 ÷ 8 =
  34. 34.48682 ÷ 88 =
  35. 35.26019 ÷ 96 =
  36. 36.24916 ÷ 97 =
  37. 37.216913 ÷ 998 =
  38. 38.20997 ÷ 97 =
  39. 39.9051 ÷ 8 =
  40. 40.828822 ÷ 997 =

Answer key

  1. 918 rem 5
  2. 843 rem 64
  3. 222 rem 870
  4. 890 rem 765
  5. 560 rem 333
  6. 244 rem 10
  7. 737 rem 22
  8. 439 rem 854
  9. 96 rem 34
  10. 325 rem 453
  11. 349 rem 21
  12. 876 rem 4
  13. 320 rem 3
  14. 680 rem 700
  15. 650 rem 463
  16. 928 rem 445
  17. 679 rem 611
  18. 122 rem 57
  19. 514 rem 258
  20. 241 rem 72
  21. 501 rem 29
  22. 227 rem 505
  23. 678 rem 5
  24. 95 rem 81
  25. 695 rem 4
  26. 728 rem 247
  27. 880 rem 835
  28. 900 rem 63
  29. 90 rem 21
  30. 69 rem 122
  31. 296 rem 525
  32. 759 rem 237
  33. 1187 rem 3
  34. 553 rem 18
  35. 271 rem 3
  36. 256 rem 84
  37. 217 rem 347
  38. 216 rem 45
  39. 1131 rem 3
  40. 831 rem 315

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