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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 535 · 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. 1.796787 ÷ 988 =
  2. 2.89665 ÷ 98 =
  3. 3.943721 ÷ 988 =
  4. 4.87408 ÷ 97 =
  5. 5.9834 ÷ 8 =
  6. 6.665323 ÷ 989 =
  7. 7.49933 ÷ 98 =
  8. 8.97475 ÷ 88 =
  9. 9.709086 ÷ 989 =
  10. 10.245382 ÷ 998 =
  11. 11.10652 ÷ 98 =
  12. 12.396458 ÷ 897 =
  13. 13.537112 ÷ 989 =
  14. 14.549635 ÷ 897 =
  15. 15.13636 ÷ 98 =
  16. 16.52136 ÷ 997 =
  17. 17.18923 ÷ 98 =
  18. 18.220455 ÷ 897 =
  19. 19.17791 ÷ 89 =
  20. 20.696881 ÷ 988 =
  21. 21.517697 ÷ 998 =
  22. 22.3448 ÷ 8 =
  23. 23.621573 ÷ 998 =
  24. 24.977848 ÷ 988 =
  25. 25.87007 ÷ 98 =
  26. 26.25985 ÷ 88 =
  27. 27.914609 ÷ 998 =
  28. 28.31876 ÷ 89 =
  29. 29.47655 ÷ 97 =
  30. 30.34514 ÷ 88 =
  31. 31.16822 ÷ 88 =
  32. 32.58465 ÷ 97 =
  33. 33.223616 ÷ 988 =
  34. 34.58921 ÷ 89 =
  35. 35.70292 ÷ 89 =
  36. 36.717682 ÷ 997 =
  37. 37.601820 ÷ 989 =
  38. 38.622454 ÷ 997 =
  39. 39.55694 ÷ 89 =
  40. 40.15489 ÷ 97 =

Answer key

  1. 806 rem 459
  2. 914 rem 93
  3. 955 rem 181
  4. 901 rem 11
  5. 1229 rem 2
  6. 672 rem 715
  7. 509 rem 51
  8. 1107 rem 59
  9. 716 rem 962
  10. 245 rem 872
  11. 108 rem 68
  12. 441 rem 881
  13. 543 rem 85
  14. 612 rem 671
  15. 139 rem 14
  16. 52 rem 292
  17. 193 rem 9
  18. 245 rem 690
  19. 199 rem 80
  20. 705 rem 341
  21. 518 rem 733
  22. 431 rem 0
  23. 622 rem 817
  24. 989 rem 716
  25. 887 rem 81
  26. 295 rem 25
  27. 916 rem 441
  28. 358 rem 14
  29. 491 rem 28
  30. 392 rem 18
  31. 191 rem 14
  32. 602 rem 71
  33. 226 rem 328
  34. 662 rem 3
  35. 789 rem 71
  36. 719 rem 839
  37. 608 rem 508
  38. 624 rem 326
  39. 625 rem 69
  40. 159 rem 66

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