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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 583 · 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. 1.439202 ÷ 989 =
  2. 2.17473 ÷ 88 =
  3. 3.844311 ÷ 989 =
  4. 4.56070 ÷ 88 =
  5. 5.2924 ÷ 8 =
  6. 6.2502 ÷ 98 =
  7. 7.65226 ÷ 89 =
  8. 8.10314 ÷ 97 =
  9. 9.734 ÷ 8 =
  10. 10.92913 ÷ 97 =
  11. 11.2810 ÷ 8 =
  12. 12.118526 ÷ 897 =
  13. 13.955606 ÷ 997 =
  14. 14.597263 ÷ 988 =
  15. 15.48437 ÷ 97 =
  16. 16.5299 ÷ 8 =
  17. 17.38573 ÷ 88 =
  18. 18.13922 ÷ 97 =
  19. 19.15825 ÷ 88 =
  20. 20.4067 ÷ 8 =
  21. 21.116914 ÷ 897 =
  22. 22.3578 ÷ 88 =
  23. 23.53418 ÷ 97 =
  24. 24.487808 ÷ 989 =
  25. 25.949539 ÷ 998 =
  26. 26.95036 ÷ 997 =
  27. 27.28906 ÷ 88 =
  28. 28.21986 ÷ 98 =
  29. 29.52425 ÷ 98 =
  30. 30.967729 ÷ 897 =
  31. 31.151429 ÷ 997 =
  32. 32.29995 ÷ 997 =
  33. 33.297698 ÷ 989 =
  34. 34.2771 ÷ 8 =
  35. 35.7894 ÷ 88 =
  36. 36.45583 ÷ 97 =
  37. 37.74986 ÷ 98 =
  38. 38.268050 ÷ 998 =
  39. 39.35128 ÷ 89 =
  40. 40.33278 ÷ 97 =

Answer key

  1. 444 rem 86
  2. 198 rem 49
  3. 853 rem 694
  4. 637 rem 14
  5. 365 rem 4
  6. 25 rem 52
  7. 732 rem 78
  8. 106 rem 32
  9. 91 rem 6
  10. 957 rem 84
  11. 351 rem 2
  12. 132 rem 122
  13. 958 rem 480
  14. 604 rem 511
  15. 499 rem 34
  16. 662 rem 3
  17. 438 rem 29
  18. 143 rem 51
  19. 179 rem 73
  20. 508 rem 3
  21. 130 rem 304
  22. 40 rem 58
  23. 550 rem 68
  24. 493 rem 231
  25. 951 rem 441
  26. 95 rem 321
  27. 328 rem 42
  28. 224 rem 34
  29. 534 rem 93
  30. 1078 rem 763
  31. 151 rem 882
  32. 30 rem 85
  33. 301 rem 9
  34. 346 rem 3
  35. 89 rem 62
  36. 469 rem 90
  37. 765 rem 16
  38. 268 rem 586
  39. 394 rem 62
  40. 343 rem 7

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