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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 590 · 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. 1.934630 ÷ 897 =
  2. 2.83789 ÷ 98 =
  3. 3.61361 ÷ 98 =
  4. 4.596149 ÷ 988 =
  5. 5.6967 ÷ 98 =
  6. 6.70605 ÷ 98 =
  7. 7.303944 ÷ 997 =
  8. 8.719788 ÷ 989 =
  9. 9.892952 ÷ 989 =
  10. 10.1250 ÷ 8 =
  11. 11.67687 ÷ 96 =
  12. 12.74402 ÷ 97 =
  13. 13.2608 ÷ 8 =
  14. 14.236493 ÷ 897 =
  15. 15.38167 ÷ 89 =
  16. 16.564923 ÷ 989 =
  17. 17.247741 ÷ 997 =
  18. 18.3808 ÷ 98 =
  19. 19.30335 ÷ 97 =
  20. 20.475610 ÷ 998 =
  21. 21.9341 ÷ 8 =
  22. 22.43666 ÷ 89 =
  23. 23.536196 ÷ 997 =
  24. 24.9580 ÷ 8 =
  25. 25.281031 ÷ 988 =
  26. 26.309984 ÷ 997 =
  27. 27.10728 ÷ 96 =
  28. 28.97173 ÷ 98 =
  29. 29.709202 ÷ 989 =
  30. 30.48117 ÷ 98 =
  31. 31.204534 ÷ 998 =
  32. 32.54990 ÷ 96 =
  33. 33.75203 ÷ 88 =
  34. 34.88682 ÷ 97 =
  35. 35.582170 ÷ 997 =
  36. 36.388747 ÷ 988 =
  37. 37.68979 ÷ 89 =
  38. 38.880643 ÷ 988 =
  39. 39.401721 ÷ 897 =
  40. 40.47586 ÷ 97 =

Answer key

  1. 1041 rem 853
  2. 854 rem 97
  3. 626 rem 13
  4. 603 rem 385
  5. 71 rem 9
  6. 720 rem 45
  7. 304 rem 856
  8. 727 rem 785
  9. 902 rem 874
  10. 156 rem 2
  11. 705 rem 7
  12. 767 rem 3
  13. 326 rem 0
  14. 263 rem 582
  15. 428 rem 75
  16. 571 rem 204
  17. 248 rem 485
  18. 38 rem 84
  19. 312 rem 71
  20. 476 rem 562
  21. 1167 rem 5
  22. 490 rem 56
  23. 537 rem 807
  24. 1197 rem 4
  25. 284 rem 439
  26. 310 rem 914
  27. 111 rem 72
  28. 991 rem 55
  29. 717 rem 89
  30. 490 rem 97
  31. 204 rem 942
  32. 572 rem 78
  33. 854 rem 51
  34. 914 rem 24
  35. 583 rem 919
  36. 393 rem 463
  37. 775 rem 4
  38. 891 rem 335
  39. 447 rem 762
  40. 490 rem 56

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