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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 119 · 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. 1.193055 ÷ 989 =
  2. 2.940500 ÷ 997 =
  3. 3.25751 ÷ 97 =
  4. 4.12770 ÷ 97 =
  5. 5.285196 ÷ 998 =
  6. 6.58246 ÷ 96 =
  7. 7.70428 ÷ 97 =
  8. 8.12792 ÷ 98 =
  9. 9.85132 ÷ 96 =
  10. 10.91494 ÷ 89 =
  11. 11.21680 ÷ 997 =
  12. 12.7605 ÷ 8 =
  13. 13.35682 ÷ 98 =
  14. 14.1222 ÷ 96 =
  15. 15.333179 ÷ 998 =
  16. 16.9233 ÷ 8 =
  17. 17.41501 ÷ 97 =
  18. 18.905415 ÷ 989 =
  19. 19.252462 ÷ 988 =
  20. 20.14079 ÷ 98 =
  21. 21.42479 ÷ 98 =
  22. 22.295477 ÷ 989 =
  23. 23.47056 ÷ 96 =
  24. 24.457180 ÷ 998 =
  25. 25.8266 ÷ 98 =
  26. 26.93106 ÷ 98 =
  27. 27.59937 ÷ 89 =
  28. 28.20540 ÷ 97 =
  29. 29.43656 ÷ 98 =
  30. 30.38985 ÷ 88 =
  31. 31.24902 ÷ 998 =
  32. 32.22281 ÷ 98 =
  33. 33.84776 ÷ 988 =
  34. 34.36583 ÷ 97 =
  35. 35.497630 ÷ 997 =
  36. 36.34320 ÷ 89 =
  37. 37.468655 ÷ 998 =
  38. 38.152823 ÷ 897 =
  39. 39.116419 ÷ 897 =
  40. 40.598870 ÷ 988 =

Answer key

  1. 195 rem 200
  2. 943 rem 329
  3. 265 rem 46
  4. 131 rem 63
  5. 285 rem 766
  6. 606 rem 70
  7. 726 rem 6
  8. 130 rem 52
  9. 886 rem 76
  10. 1028 rem 2
  11. 21 rem 743
  12. 950 rem 5
  13. 364 rem 10
  14. 12 rem 70
  15. 333 rem 845
  16. 1154 rem 1
  17. 427 rem 82
  18. 915 rem 480
  19. 255 rem 522
  20. 143 rem 65
  21. 433 rem 45
  22. 298 rem 755
  23. 490 rem 16
  24. 458 rem 96
  25. 84 rem 34
  26. 950 rem 6
  27. 673 rem 40
  28. 211 rem 73
  29. 445 rem 46
  30. 443 rem 1
  31. 24 rem 950
  32. 227 rem 35
  33. 85 rem 796
  34. 377 rem 14
  35. 499 rem 127
  36. 385 rem 55
  37. 469 rem 593
  38. 170 rem 333
  39. 129 rem 706
  40. 606 rem 142

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