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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 500 · 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. 1.28916 ÷ 98 =
  2. 2.99337 ÷ 98 =
  3. 3.98933 ÷ 96 =
  4. 4.67484 ÷ 88 =
  5. 5.70765 ÷ 88 =
  6. 6.226425 ÷ 998 =
  7. 7.385076 ÷ 997 =
  8. 8.8906 ÷ 88 =
  9. 9.224100 ÷ 998 =
  10. 10.63658 ÷ 98 =
  11. 11.969404 ÷ 998 =
  12. 12.83637 ÷ 89 =
  13. 13.14211 ÷ 98 =
  14. 14.38435 ÷ 96 =
  15. 15.4655 ÷ 8 =
  16. 16.28123 ÷ 989 =
  17. 17.858797 ÷ 897 =
  18. 18.2687 ÷ 8 =
  19. 19.52382 ÷ 89 =
  20. 20.836675 ÷ 897 =
  21. 21.735320 ÷ 997 =
  22. 22.987928 ÷ 998 =
  23. 23.777210 ÷ 998 =
  24. 24.181292 ÷ 998 =
  25. 25.9514 ÷ 8 =
  26. 26.32684 ÷ 97 =
  27. 27.351041 ÷ 897 =
  28. 28.45924 ÷ 96 =
  29. 29.89548 ÷ 96 =
  30. 30.83573 ÷ 98 =
  31. 31.573509 ÷ 897 =
  32. 32.6540 ÷ 88 =
  33. 33.1045 ÷ 88 =
  34. 34.92194 ÷ 88 =
  35. 35.174979 ÷ 989 =
  36. 36.183533 ÷ 897 =
  37. 37.60577 ÷ 88 =
  38. 38.1220 ÷ 97 =
  39. 39.359271 ÷ 998 =
  40. 40.598082 ÷ 988 =

Answer key

  1. 295 rem 6
  2. 1013 rem 63
  3. 1030 rem 53
  4. 766 rem 76
  5. 804 rem 13
  6. 226 rem 877
  7. 386 rem 234
  8. 101 rem 18
  9. 224 rem 548
  10. 649 rem 56
  11. 971 rem 346
  12. 939 rem 66
  13. 145 rem 1
  14. 400 rem 35
  15. 581 rem 7
  16. 28 rem 431
  17. 957 rem 368
  18. 335 rem 7
  19. 588 rem 50
  20. 932 rem 671
  21. 737 rem 531
  22. 989 rem 906
  23. 778 rem 766
  24. 181 rem 654
  25. 1189 rem 2
  26. 336 rem 92
  27. 391 rem 314
  28. 478 rem 36
  29. 932 rem 76
  30. 852 rem 77
  31. 639 rem 326
  32. 74 rem 28
  33. 11 rem 77
  34. 1047 rem 58
  35. 176 rem 915
  36. 204 rem 545
  37. 688 rem 33
  38. 12 rem 56
  39. 359 rem 989
  40. 605 rem 342

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